Sequential warped product submanifolds having factors as holomorphic, totally real and pointwise slant

Autor:	Sahin, Bayram
Rok vydání:	2020
Předmět:	Mathematics - Differential Geometry 53C15 53B20
Druh dokumentu:	Working Paper
Popis:	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. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.02898 Zobrazit plný text záznamu View this record from Arxiv