F-biharmonic integral submanifolds in generalized sasakian space forms

Karaca F.

Filomat, cilt.33, sa.9, ss.2561-2570, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 9
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/fil1909561k
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2561-2570
  • Anahtar Kelimeler: F-biharmonic submanifold, Generalized Sasakian space form, Integral C-parallel submanifold, Integral submanifold
  • Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

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.