Semiparalel Wintgen Ideal Surfaces in Eⁿ

2013/05/10 by Betul Bulca, Kadri Arslan · 1 citation
Mathematics · #math.DG #msc:53A05 #msc:53C40 #msc:53C42

paper · pdf

published as Comptes rendus de l Acad emie bulgare des Sciences,Tome 67, No 5, 2014 · 9 pages

arxiv created 2013/05/10 · arxiv updated 2015/04/23

Abstract

Wintgen ideal surfaces in E⁴ form an important family of surfaces, namely surfaces with circular ellipse of curvature. Obviously, Wintgen ideal surfaces satisfy the pointwise equality K+K_N=H². In the present study we consider the Wintgen ideal surfaces in n-dimensional Euclidean space E⁴. We have shown that Wintgen ideal surfaces in Eⁿ satisfying the semiparallelity condition R(X,Y)h=0 are totally umbilical. Further, we obtain some results in E⁴.

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• Semi-parallel Meridian Surfaces in E⁴

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