Sequential warped product submanifolds having factors as holomorphic, totally real and pointwise slant
Other publications > Other · 2020
Authors: Bayram ŞAHİN
Other, International, 2020,
Summary
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.