İstanbul University General Seminars

Biwarped product submanifolds of a Kahler manifold
Hakan Mete Taştan
İstanbul Üniversitesi, Turkey
Özet : We study biwarped product submanifolds which are special cases of multiply warped product submanifolds in K\"{a}hler 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 : 27.12.2017 Saat : 15:00 Yer : Matematik Bölümü Bilgisayar Lab. Dil : Turkish