SEMIPARALLEL WINTGEN IDEAL SURFACES IN E-n


BULCA B., ARSLAN K.

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, vol.67, no.5, pp.613-622, 2014 (Peer-Reviewed Journal) identifier

  • Publication Type: Article / Article
  • Volume: 67 Issue: 5
  • Publication Date: 2014
  • Journal Name: COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.613-622
  • Keywords: normal curvature, Wintgen ideal surface, superconformal surface, semiparallel surface, DESZCZ SYMMETRIES

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.