Semiparallel wintgen ideal surfaces in En


BULCA B. , ARSLAN K.

Comptes Rendus de L'Academie Bulgare des Sciences, vol.67, no.5, pp.613-622, 2014 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 67 Issue: 5
  • Publication Date: 2014
  • Title of Journal : Comptes Rendus de L'Academie Bulgare des Sciences
  • Page Numbers: pp.613-622
  • Keywords: normal curvature, Wintgen ideal surface, superconformal surface, semiparallel surface, DESZCZ SYMMETRIES

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 + |Kn|=||H||2. In the present study we consider the Wintgen ideal surfaces in n-dimensional Euclidean space En. We have shown that Wintgen ideal surfaces in En satisfying the semiparallelity condition R(X, Y) h = 0 are of flat normal connection. Further, we obtain some results in E4.