Akademik Veri Yönetim Sistemi
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, cilt.16, ss.77-87, 2023 (ESCI, Scopus)
Umbrella matrices and their geometry have been studied in works [1, 2, 3], and the generalized form of [3] is addressed in [4]. In this study, for the first time, we obtained Dual Umbrella matrices using the Cayley Formula for Dual skew-symmetric matrices with zero row sums. We provided the relationship between the skew-symmetric matrix and the Darboux matrix of the motion. We demonstrated that Dual Umbrella matrices represent a screw motion in 3dimensional Euclidean space and obtained the rotation angle and translation amount associated with this motion. Furthermore, we showed that these matrices are Circulant matrices.