Open AccessBiwarped product submanifolds of a Kähler manifold
Author(s) -
Hakan Mete Taştan
Publication year - 2018
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1807349t
Subject(s) - submanifold , mathematics , pure mathematics , second fundamental form , product (mathematics) , norm (philosophy) , manifold (fluid mechanics) , image warping , mathematical analysis , geometry , curvature , mean curvature , computer science , mechanical engineering , engineering , artificial intelligence , political science , law
We study biwarped product submanifolds which are special cases of multiply warped product submanifolds in K?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.