BIWARPED PRODUCT SUBMANIFOLDS WITH A SLANT BASE FACTOR
International Journal of Maps in Mathematics, vol.5, no.2, pp.154-181, 2022 (Scopus)
- Publication Type: Article / Article
- Volume: 5 Issue: 2
- Publication Date: 2022
- Journal Name: International Journal of Maps in Mathematics
- Journal Indexes: Scopus
- Page Numbers: pp.154-181
- Keywords: Anti-invariant distribution, Biwarped product submanifold, Invariant distribution, Locally product Riemannian manifold, Slant distribution
- Istanbul University Affiliated: Yes
Abstract
We study biwarped product submanifolds with a slant base factor in locally product Riemannian manifolds. We prove an existence theorem for such submanifolds. Then we give a necessary and sufficient condition for such a manifold to be a warped prod-uct. We establish a general inequality for such submanifolds. The equality case is also considered. Moreover, we give an application of this inequality.