Generalized rotation surfaces in e-4
Date
2012-06
Authors
Bayram, Bengü Kılıç
Öztürk, Günay
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Basel Ag
Abstract
In the present study we consider generalized rotation surfaces imbedded in an Euclidean space of four dimensions. We also give some special examples of these surfaces in . Further, the curvature properties of these surfaces are investigated. We give necessary and sufficient conditions for generalized rotation surfaces to become pseudo-umbilical. We also show that every general rotation surface is Chen surface in . Finally we give some examples of generalized rotation surfaces in .
Description
Keywords
Mathematics, Ruled surface, Rotation surface, Tensor product surface, Chen surface, Curves
Citation
Arslan, K. vd. (2012). "Generalized rotation surfaces in e-4". Results in Mathematics, 61(3-4), 315-327.