Sequential warped product submanifolds having holomorphic, totally real and pointwise slant factors
Makaleler > Tam Makale · 2021
Yazarlar: Bayram ŞAHİN
Periodica Mathematica Hungarica, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2021, cilt 85, ss 128-139
DOI: 10.1007/s10998-021-00422-w
Özet
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, inspired by 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.