C-totally real pseudo-parallel submanifolds of Sasakian space forms

Yildiz A., Murathan C., Arstan K., Ezentas R.

Monatshefte fur Mathematik, vol.151, no.3, pp.247-256, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 151 Issue: 3
  • Publication Date: 2007
  • Doi Number: 10.1007/s00605-007-0474-4
  • Journal Name: Monatshefte fur Mathematik
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.247-256
  • Keywords: pseudosymmetry type manifolds, semisymmetric manifolds, hypersurfaces, contact manifolds, Sasakian manifolds, ANTI-INVARIANT SUBMANIFOLDS, INTEGRAL SUBMANIFOLDS, CONTACT DISTRIBUTION
  • Bursa Uludag University Affiliated: Yes

Abstract

Let M̃2n+1(c) be (2n + 1)-dimensional Sasakian space form of constant ℓ-sectional curvature (c) and M n be an n -dimensional C-totally real, minimal submanifold of M̃2n+1(c). We prove that if M n is pseudo-parallel and Ln-1/4(n(c + 3) + c - 1)≥ 0, then M n is totally geodesic. © Springer-Verlag 2007.