F-biharmonic integral submanifolds in generalized sasakian space forms

Karaca F.

Filomat, vol.33, no.9, pp.2561-2570, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 9
  • Publication Date: 2019
  • Doi Number: 10.2298/fil1909561k
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2561-2570
  • Keywords: F-biharmonic submanifold, Generalized Sasakian space form, Integral C-parallel submanifold, Integral submanifold
  • Yıldız Technical University Affiliated: No

Abstract

We study f-biharmonic integral submanifolds and integral C-parallel submanifolds in generalized Sasakian space forms. As an application, we find the f-biharmonicity conditions for the integral and integral C-parallel submanifolds in Sasakian, λ-Sasakian, Kenmotsu and cosymplectic space forms. Finally, we give also some examples of f-biharmonic integral submanifolds in Sasakian space forms.