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arXiv · 1305.2336

Semiparalel Wintgen Ideal Surfaces in E^n

Betul Bulca·Kadri Arslan
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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.

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Betul Bulca, Kadri Arslan. 2013-05-10. Semiparalel Wintgen Ideal Surfaces in E^n. https://arxiv.org/abs/1305.2336

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