Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized S-space-forms
Differential Geometry
2013-06-10 v1
Abstract
We establish some inequalities of Chen's type between certain intrinsic invariants (involving sectional, Ricci and scalar curvatures) and the squared mean curvature of submanifolds tangent to the structure vector fields of a generalized S-space-form and we discuss the equality cases of them. We apply the obtained results to slant submanifolds.
Keywords
Cite
@article{arxiv.1306.1655,
title = {Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized S-space-forms},
author = {Luis M. Fernández and Ana M. Fuentes},
journal= {arXiv preprint arXiv:1306.1655},
year = {2013}
}