Curvature invariants of slant submanifolds in S-space forms

被引：0
|
作者：
P. Alegre
J. Barrera
A. Carriazo
L. M. Fernández
机构：
[1] University of Sevilla,Department of Geometry and Topology, Faculty of Mathematics
[2] Junta de Andalucía,Departamento de Coordinación de Gestión de Recursos Humanos, Consejería de Educación y Deporte
来源：
Indian Journal of Pure and Applied Mathematics | 2022年 / 53卷
关键词：
slant submanifolds; -space-forms; Ricci curvature; scalar curvature; mean curvature; 53C40; 53C25; 53C15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish some relationships between the main intrinsic invariants, scalar and Ricci curvatures, and the main extrinsic invariant, the mean curvature vector, for slant submanifolds of S-space-forms. In addition to that, we study those slant submanifolds satisfying the equality case between the above invariants, due to the great importance that these submanifolds have had in both complex and contact geometry. Moreover, we present some examples on these conditions.
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页码：993 / 1005
页数：12
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