On semiparallel anti-invariant submanifolds of generalized Sasakian space forms

Özgür C., Gürler F., MURATHAN C.

Turkish Journal of Mathematics, vol.38, no.4, pp.796-802, 2014 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 4
  • Publication Date: 2014
  • Doi Number: 10.3906/mat-1309-48
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.796-802
  • Keywords: Generalized sasakian space form, Laplacian of the second fundamental form, Semiparallel submanifold, Totally geodesic submanifold
  • Yıldız Technical University Affiliated: No

Abstract

We consider minimal anti-invariant semiparallel submanifolds of generalized Sasakian space forms. We show that the submanifolds are totally geodesic under certain conditions. © Tübitak.