İstanbul Technical University Mathematics Department Seminars

Biwarped product submanifolds of a Kähler manifold
Hakan Mete Taştan
İstanbul Üniversitesi, Turkey
Özet : We study biwarped product submanifolds which are special cases of multiply warped product submanifolds in Kähler 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.
  Tarih : 22.12.2017
  Saat : 15:00
  Yer : İstanbul Teknik Üniversitesi Matematik Bölümü
  Dil : English
  Ek Dosya : Özet
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