Sequential warped product submanifolds having factors as holomorphic, totally real and pointwise slant
Differential Geometry
2020-06-05 v1
Abstract
We introduce sequential warped product submanifolds of Kaehler manifolds, provide examples and establish Chen's inequality for such submanifolds. The equality case is also studied. Moreover, by inspiring Lawson and Simons's integral currrent's theorem on a submanifold, we find a similar pinching inequality for a sequential warped product submanifold and obtain geometric results when the equality case is satisfied.
Keywords
Cite
@article{arxiv.2006.02898,
title = {Sequential warped product submanifolds having factors as holomorphic, totally real and pointwise slant},
author = {Bayram Sahin},
journal= {arXiv preprint arXiv:2006.02898},
year = {2020}
}
Comments
15 pages