Published journal articles indexed by SCI, SSCI, and AHCI
On the dual quaternion geometry of screw motions
Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
, vol.31, no.3, pp.125-143, 2023 (SCI-Expanded)
Rotation minimizing frames and quaternionic rectifying curves
Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
, vol.67, no.1, pp.19-29, 2021 (SCI-Expanded)
Flat Rotational Surfaces with Pointwise 1-Type Gauss Map Via Generalized Quaternions
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
, vol.90, no.2, pp.251-257, 2020 (SCI-Expanded)
Eikonal Helices and Harmonic Curvatures in Riemannian Manifolds
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
, vol.42, no.A2, pp.753-761, 2018 (SCI-Expanded)
Dual Transformation Between S(O)over-cap(3) and S(O)over-cap (2,1) and Its Geometric Applications
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
, vol.88, no.2, pp.267-273, 2018 (SCI-Expanded)
Some new types of associated curves in Euclidean 3-space
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
, vol.26, no.1, pp.205-221, 2018 (SCI-Expanded)
On space-like constant slope surfaces and bertrand curves in minkowski 3-space
Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
, vol.63, no.F2, pp.323-339, 2017 (SCI-Expanded)
Generalized quaternions and rotation in 3-space E3
TWMS Journal of Pure and Applied Mathematics
, vol.2, no.6, pp.224-232, 2015 (SCI-Expanded)
Homothetic Motions and Surfaces in E-4
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
, vol.38, no.1, pp.259-269, 2015 (SCI-Expanded)
Time-Like Constant Slope Surfaces and Space-Like Bertrand Curves in Minkowski 3-Space
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
, vol.84, no.4, pp.535-540, 2014 (SCI-Expanded)
Characterization of Speherical Helices in Euclidean 3-Space
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
, vol.22, no.2, pp.99-108, 2014 (SCI-Expanded)
A fast method based on DeMoivre for spherical linear interpolation in Minkowski space
Energy Education Science and Technology Part A: Energy Science and Research
, vol.30, no.SPEC .ISS.1, pp.549-552, 2012 (SCI-Expanded)
Mechanical systems on generalized-quaternionic Kähler manifolds
International Journal of Geometric Methods in Modern Physics
, vol.8, no.7, pp.1419-1431, 2011 (SCI-Expanded)
Cyclic surfaces in E1 5 generated by homothetic motions
Iranian Journal of Science and Technology, Transaction A: Science
, vol.34, no.1, pp.19-26, 2010 (SCI-Expanded)
ON MANNHEIM PARTNER CURVE IN DUAL SPACE
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
, vol.17, no.2, pp.131-142, 2009 (SCI-Expanded)
On the characterization of spherical curves in 3-dimensional Sasakian spaces
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
, vol.342, no.2, pp.1151-1159, 2008 (SCI-Expanded)
On the geodesics of tubular surfaces in Minkowski 3-space
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
, vol.31, no.1, pp.1-10, 2008 (SCI-Expanded)
Unit octonions and some geometrical interpretations
International Journal of Mathematical Education in Science and Technology
, vol.28, no.5, pp.749-783, 1997 (SCI-Expanded)
Articles Published in Other Journals
MOTIONS ON CURVES AND SURFACES USING GEOMETRIC ALGEBRA
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
, vol.71, no.1, pp.39-50, 2022 (ESCI)
Obtaining triplet from quaternions
International Journal of Optimization and Control: Theories and Applications
, vol.11, no.1, pp.109-113, 2021 (ESCI)
On slant helices and Mannheim Curves in E3
Mathematical Sciences and Applications E-Notes
, vol.8, no.2, pp.42-47, 2020 (Peer-Reviewed Journal)
Normal Fermi-Walker Derivative in E13
Caspian journal of mathematical sciences
, vol.9, no.1, pp.86-99, 2020 (Peer-Reviewed Journal)
The Fermi-Walker Derivative in Three Dimensional Lie Groups With Left-Invariant Metric
Romanian Journal of Mathematics and Computer Science
, vol.9, no.1, pp.39-55, 2019 (Peer-Reviewed Journal)
Elemantry Approaches on De Sitter Space
Mathematical Sciences and Applications E-Notes
, vol.7, no.2, pp.183-190, 2019 (Peer-Reviewed Journal)
Characterizations of Inclined Curves According to ParallelTransport Frame in E4 and Bishop Frame in E3
Konuralp Journal of Mathematics
, vol.7, no.1, pp.16-24, 2019 (Peer-Reviewed Journal)
Slant helices and isothermic surfaces
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY
, vol.59, no.1, pp.145-154, 2018 (ESCI)
Singular Points of Tubular Surfaces In Minkowski 3 space
Sarejevo Journal of mathematics
, vol.14, pp.73-82, 2017 (Peer-Reviewed Journal)
Generalized Similar Frenet Curves
Mathematical Sciences and Applications E-Notes (MSAEN)
, vol.5, no.2, pp.26-35, 2017 (Peer-Reviewed Journal)
On Developable Ruled Surface of the Principal-Direction Curve
Konuralp Journal of Mathematics
, vol.5, no.2, pp.172-180, 2017 (Peer-Reviewed Journal)
Constant angle surfaces and curves in E3
Int.Electron J. Geom.
, 2017 (Peer-Reviewed Journal)
W-curves in Lorentz-Minkowski space
mathematical sciences and applications e-notes
, vol.5, no.2, pp.76-88, 2017 (Peer-Reviewed Journal)
Generalized helices and singular points
caspian journal of mathematical sciences
, vol.6, no.2, pp.121-132, 2017 (Peer-Reviewed Journal)
Generalized similar frenet curves
mathematical sciences and applications e-notes
, vol.5, no.2, pp.26-35, 2017 (Peer-Reviewed Journal)
Darboux Frame of a Curve Lying on a LightlikeSurface
MATHEMATICAL SCIENCES AND APPLICATIONS E-NOTES
, vol.4, no.2, pp.121-130, 2016 (Peer-Reviewed Journal)
Darboux Frame of a Curve Lying on a Lightlike Surfaces
Mathematical Sciences and Applications E-Notes
, 2016 (Peer-Reviewed Journal)
GENERALIZED QUATERNIONS AND THEIR ALGEBRAIC PROPERTIES
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
, vol.64, no.1, pp.15-27, 2015 (ESCI)
A New Approach on Type 3 Slant Helix in E4
Gen. Math. Notes
, 2015 (Peer-Reviewed Journal)
The E Study Maps of Circle On Dual Elliptical Unit Sphere ED2
Bitlis Eren University Journal of Science
, vol.4, no.1, pp.12-20, 2015 (Peer-Reviewed Journal)
Locus of the centers of Meusnier spheres in Euclidean 3 space
Universal Journal of Mathematics and Mathematical Sciences
, vol.7, no.1, 2015 (Peer-Reviewed Journal)
A New Approach to Type 3 Slant Helix in E
General Mathematics Notes
, 2015 (Peer-Reviewed Journal)
Homotetic motions and Bicomplex numbers
Communications, SeriesA1: Math.and statistics
, 2014 (Peer-Reviewed Journal)
Parallel transport frame in 4 dimensional Euclidean space E 4
Caspian J. of Math. Sci.
, 2014 (Peer-Reviewed Journal)
Golden quaternionic structures
Int. Electron. J. Pure Appl. Math.
, vol.7, no.3, 2014 (Peer-Reviewed Journal)
Curve reconstruction in Lorentz Minkowski 3 space
Glob. J. Adv. Res. Class. Mod. Geom.
, vol.3, no.1, 2014 (Peer-Reviewed Journal)
On curves of Nk slant helix and Nk constant precession in Minkowski 3 space
J. Dyn. Syst. Geom. Theor.
, vol.12, no.2, 2014 (Peer-Reviewed Journal)
On the curves lying on parallel surfaces in the Euclidean 3-space E3
Journal of Advanced Research in Dynamical and Control Systems
, vol.5, no.3, pp.26-35, 2013 (Scopus)
On Darboux Helices in Euclidean 3 Space
Global Journal of Science Frontier ResearchMathematics and Decision Sciences
, 2012 (Peer-Reviewed Journal)
A conformal approach to Bour s theorem
Mathematica Aeterna
, vol.2, pp.7-8, 2012 (Peer-Reviewed Journal)
On r helix hypersurfaces
Int. Math. Forum
, vol.7, pp.33-36, 2012 (Peer-Reviewed Journal)
Point line geometry and equiform kinematics in Minkowski three space
Point-line geometry and equiform kinematics in Minkowski three-space
, vol.5, no.2, 2012 (Peer-Reviewed Journal)
General helices and Bertrand curves in Riemannian space form
Math. AEterna,
, vol.2, pp.1-2, 2012 (Peer-Reviewed Journal)
Spacelike curves on spacelike parallel surfaces in Minkowski 3 space E31
Int. J. Math. Comput.
, vol.19, no.2, 2012 (Peer-Reviewed Journal)
Some Algebraic Properties of Dual Generalized Quaternions
Far East Journal of Mathematical Science
, vol.69, no.2, pp.307-318, 2012 (Peer-Reviewed Journal)
A note on Bertrand curves and constant slope surfaces according to Darboux frame
J. Adv. Math. Stud.
, vol.5, no.1, 2012 (Peer-Reviewed Journal)
Tubes with Darboux frame
Int. J. Contemp. Math. Sci.
, vol.7, no.16, pp.751-758, 2012 (Peer-Reviewed Journal)
Timelike curves on timelike parallel surfaces in Minkowski 3 space E31
Math. Æterna,
, vol.2, pp.7-8, 2012 (Peer-Reviewed Journal)
On the Bour s theorem with respect to conformal map in Minkowski space E31
J. Dyn. Syst. Geom. Theor.
, vol.10, no.2, 2012 (Peer-Reviewed Journal)
Rules surfaces with different Blaschke approach
Appl. Math. Sci. (Ruse)
, vol.6, pp.57-60, 2012 (Peer-Reviewed Journal)
Ruled surfaces and dual spherical curves
Acta Univ. Apulensis Math. Inform.
, vol.30, pp.337-354, 2012 (Peer-Reviewed Journal)
Helix hypersurfaces and special curves
Int. J. Contemp. Math. Sci.
, vol.7, pp.25-28, 2012 (Peer-Reviewed Journal)
Parametrization of perspective silhouettes on canal surfaces in Minkowski 3 space
J. Math. Comput. Sci
, vol.2, no.2, 2012 (Peer-Reviewed Journal)
On weak r helix submanifolds
J. Dyn. Syst. Geom. Theor.
, vol.10, no.2, 2012 (Peer-Reviewed Journal)
Dual motions and real spatial motions
Int. Math. Forum,
, vol.7, pp.25-28, 2012 (Peer-Reviewed Journal)
On timelike and spacelike developable ruled surfaces
J. Math. Comput. Sci.
, vol.2, no.6, 2012 (Peer-Reviewed Journal)
On the curvatures of Tubular surface with Bishop frame
Communications Faculty of Sciences University of Ankara Series A2-A3: Physical Sciences and Engineering
, vol.60, pp.59-69, 2011 (Peer-Reviewed Journal)
De Moivre s Fomula For Matrices of Quaternions
JP Journal of Algebra,Number Theory and Application
, vol.21, no.1, pp.57-67, 2011 (Peer-Reviewed Journal)
Equations of the spherical conics
Electronic Journal of Mathematics and Technology
, vol.5, no.3, 2011 (Peer-Reviewed Journal)
The Classical Elastic Curves in Lorentz Minkowski Space
m-hikari
, vol.6, no.7, pp.309-320, 2011 (Peer-Reviewed Journal)
The conical helix strip in E3 International Journal of Pure and Applied Mathematics
International Journal of Pure and Applied Mathematics
, vol.66, no.2, pp.145-156, 2011 (Peer-Reviewed Journal)
The classcial elastic curves in Lorentz-Minkowki space
International Journal of Contemporary Mathematical Sciences
, vol.6, 2011 (Peer-Reviewed Journal)
LC SLANT HELIX ON HYPERSURFACES IN MINKOWSKI SPACE En 1
J. pure Appl. Math
, vol.1, no.2, pp.137, 2010 (Peer-Reviewed Journal)
Homotheticmotions at E4 alpha beta
International journal of contemporary mathematical sciences
, vol.5, no.47, pp.2319-2326, 2010 (Peer-Reviewed Journal)
LC Slant helix on hypersurface in Minkowski space E
TWMS J. Pure Appl. Math.
, pp.137-145, 2010 (Peer-Reviewed Journal)
Homothetic Motions and Bicomplex Numbers
Commun Fac. Ankara
, vol.58, no.1, pp.23-28, 2009 (Peer-Reviewed Journal)
Homotetic Motions at E8 with Bicomplex Numbers C3
Int.J.Contemp.Math.Sciences
, no.4, pp.1619, 2009 (Peer-Reviewed Journal)
Homothetic Motions at E8 with Bicomplex Numbers C3
Int. H. Contemp
, vol.4, no.33, pp.1619-1626, 2009 (Peer-Reviewed Journal)
On point line displacement in Minkowski 3 space
Differ. Geom. Dyn. Syst.
, vol.10, pp.32-43, 2008 (Peer-Reviewed Journal)
On Kinematics Of Semi Euclidean Submanifolds On The Plane E31
Novi Sad J. Math
, vol.38, no.1, pp.11-23, 2008 (Peer-Reviewed Journal)
Homothetic motions in semi Euclidean space E2 4
Math. Proc. R. Ir.Acad
, no.105, pp.9-15, 2005 (Peer-Reviewed Journal)
On timelike line congruences and dual spherical areas on Lorentzian spheres
Math. Proc. R. Ir Acad
, no.103, pp.9, 2003 (Peer-Reviewed Journal)
On the integral invariants of a time like ruled surface
Math. Comput. Appl.
, no.6, pp.137, 2001 (Peer-Reviewed Journal)
Refereed Congress / Symposium Publications in Proceedings
Generalized Fermi-Walker Derivative and Bishop Frame
15th International Geometry Symposium, 3 - 06 July 2017
A new approach on Roller Coaster surfaces with an alternative moving frame
15 th International Geometry Symposium 2017, 3 - 06 July 2017
A New Aspect of Rectifying curves in Galilean 3-space
15 th International Geometry Symposium 2017, 3 June - 06 July 2017
Kinematic Theory of Invariant Points
15th International Geometry Symposium, 3 - 06 July 2017
The Fermi-Walker Derivative and Principal Normal Indicatrix in Euclid Space
15th International Geometry Symposium, 3 - 06 July 2017
Generalized Fermi-Walker Derivative in Euclidean Space
15th International Geometry Symposium, 3 - 06 July 2017
Geometry of Fractal structures in Galilean Plane
International Conference on Mathematics and Mathematics Education, 11 - 13 May 2017
Homothetic motions and surfaces with constant curvatures in Lorentzian 3 space
8th International meeting on Lorentzian geometry, 20 - 23 September 2016
Surfaces with a common isophote curve in Minkowski 3 space
8th International meeting on Lorentzian geometry, 20 - 23 September 2016
Applications on the Magnetic Fields
V. Uluslararası Avrasya Matematik Bilimleri ve Uygulamaları Konferansı (IECMSA-2016), Belgrade, Serbia, 16 - 19 August 2016
Generalized quaternions and rotational surfaces with pointwise 1 type Gauss map
International Workshop on Theory of Submanifolds, 2 - 04 June 2016
Sierpinski type Fractals in Galilean Plane
14th International Geometry Symposium, 25 - 28 May 2016
Surfaces with a common isophote curve in Euclidean 3 space
14 th International Geometry Symposium, 25 - 28 May 2016
Dual Euler Rodrigues Formula
14th International Geometry Symposium, 25 - 28 May 2016
Some solutions on the flux surfaces
14th International Geometry Symposium, 25 - 28 May 2016
EULER SPIRALS IN SPACE FORMS
International Conference on Pure and Applied Mathematics (ICPAM 2015), 25 - 28 August 2015
Küresel Elastik Eğriler
13. geometri sempozyumu YTÜ, Turkey, 27 - 30 July 2015
Manyetik Eğriler ve Akı Yüzeyleri
XIII. Geometri Sempozyumu, İstanbul, Turkey, 27 - 30 July 2015
Generalized of Null W slant Helices
XII. Geometri Sempozyumu Bilecek Şeyh Edebali Üniversitesi, Turkey, 23 - 28 June 2014
Variational approach to curves on semi Riemannian Manifolds
Karatekin Mathematics Days, Çankırı, Turkey, 11 - 13 June 2014
Magnetic curves on Sasakian Manifolds
II. International Eurasian Conference on Mathematical Sciences and Applications konferansı, 26 - 29 August 2013
Lorentzian Orthogonal Triangles in Lorentzian Plane
II. International Eurasian Conference on Mathematical Sciences and Applications konferansı, 26 - 29 August 2013
Harmonic curvature function of special curves in Lie groups
I. International Eurasian Conference on Mathematical Sciences and Applications konferansı, 3 - 07 September 2012
Inclined curves in the Lightlike cone
I. International Eurasian Conference on Mathematical Sciences and Applications konferansı, 3 - 07 September 2012
LC slant helix on hypersurfaces in Euclidean space E
IV congress of the Turkıc World Mathematical Society konferansı, 30 June - 04 July 2009
n 1 boyutlu Minkowski uzayında bir hiperyüzey üzerinde LC Slant helisler
IV.Ankara Matematik Günleri Sempozyumu konferansı, Turkey, 4 - 06 June 2009
The connections in between the curvatures of a curve on M and the curvatures of a strip
VIII.Geometri Sempozyumu konferansı, Turkey, 29 April - 02 May 2010
De Moivre and Euler formulas for matrices of Quaternions
VIII.Geometri Sempozyumu konferansı, Turkey, 29 April - 02 May 2010