Publication: Generalized rotation surfaces in e-4
Date
Authors
Arslan, Kadri
Bulca, Betül
Authors
Bayram, Bengü Kılıç
Öztürk, Günay
Advisor
Language
Type
Publisher:
Springer Basel Ag
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Volume Title
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
Source:
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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.