Semiparalel Wintgen Ideal Surfaces in E^n

zbMATH Open1313.53007arXiv1305.2336MaRDI QIDQ5497236

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Publication date: 3 February 2015

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.

Full work available at URL: https://arxiv.org/abs/1305.2336

zbMATH Keywords

normal curvatureWintgen ideal surfacesuperconformal surfacesemiparallel surface

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Related Items (2)

Wintgen ideal surfaces in four-dimensional neutral indefinite space form \({R^4_2(c)}\) ⋮ Recent developments in Wintgen inequality and Wintgen ideal submanifolds

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