Homothetic Motions and Surfaces in E-4

AKSOYAK F. K., YAYLI Y.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.38, sa.1, ss.259-269, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s40840-014-0017-9
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.259-269
  • Anahtar Kelimeler: Lie group, Bicomplex number, Surfaces in Euclidean space, Homothetic motion, ROTATION, SPACE
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we determine a surface M by means of homothetic motion in R-4 and reparametrize this surface M with bicomplex numbers. Also, by using curves and surfaces which are obtained by homothetic motion, we give some special subgroups of the Lie group P.