Semiparalel Wintgen Ideal Surfaces in E^n
Differential Geometry
2015-04-23 v1
Abstract
Wintgen ideal surfaces in E^4 form an important family of surfaces, namely surfaces with circular ellipse of curvature. Obviously, Wintgen ideal surfaces satisfy the pointwise equality K+K_N=H^2. In the present study we consider the Wintgen ideal surfaces in n-dimensional Euclidean space E^4. We have shown that Wintgen ideal surfaces in E^n satisfying the semiparallelity condition R(X,Y)h=0 are totally umbilical. Further, we obtain some results in E^4.
Cite
@article{arxiv.1305.2336,
title = {Semiparalel Wintgen Ideal Surfaces in E^n},
author = {Betul Bulca and Kadri Arslan},
journal= {arXiv preprint arXiv:1305.2336},
year = {2015}
}
Comments
9 pages