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 \({\mathbb E^4}\). 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 \({\mathbb E^4}\). Finally we give some examples of generalized rotation surfaces in \({\mathbb E^4}\).
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Arslan, K., Bayram, B.(., Bulca, B. et al. Generalized Rotation Surfaces in \({\mathbb E^4}\) . Results. Math. 61, 315–327 (2012). https://doi.org/10.1007/s00025-011-0103-3
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DOI: https://doi.org/10.1007/s00025-011-0103-3