Biwarped Product Submanifolds of a Kahler Manifold

Tastan H. M.

FILOMAT, cilt.32, sa.7, ss.2349-2365, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 7
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1807349t
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2349-2365
  • İstanbul Üniversitesi Adresli: Evet

Özet

We study biwarped product submanifolds which are special cases of multiply warped product submanifolds in Kahler manifolds. We observe the non-existence of such submanifolds under some circumstances. We show that there exists a non-trivial biwarped product submanifold of a certain type by giving an illustrate example. We also give a necessary and sufficient condition for such submanifolds to be locally trivial. Moreover, we establish an inequality for the squared norm of the second fundamental form in terms of the warping functions for such submanifolds. The equality case is also discussed.