Semiparallel wintgen ideal surfaces in En
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Date
2014
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Publisher
Publ House Bulgarian Acad Sci
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 + vertical bar K-N vertical bar = parallel to H parallel to(2). In the present study we consider the Wintgen ideal surfaces in n-dimensional Euclidean space E-n. We have shown that Wintgen ideal surfaces in E-n satisfying the semiparallelity condition (R) over bar (X, Y) . h = 0 are of flat normal connection. Further, we obtain some results in E-4.
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Keywords
Science & Technology - Other Topics, Normal curvature, Semiparallel surface, Wintgen ideal surface, Superconformal surface, Deszcz symmetries
Citation
Bulca, B. ve Arslan, K. (2014). "Semiparallel wintgen ideal surfaces in En". Comptes Rendus de L'Academie Bulgare des Sciences, 67(5), 613-622.