On some inequalities for submanifolds of Bochner Kaehler manifolds
Differential Geometry
2016-04-27 v2
Abstract
B. Y. Chen established sharp inequalities between certain Riemannian invariants and the squared mean curvature for submanifolds in real space form as well as in complex space form. In this paper we generalize Chen inequalities for submanifolds of Bochner Kaehler manifolds. Moreover, we consider CR-warped product submanifolds of Bochner Kaehler manifold and establish an inequality for scalar curvature.
Keywords
Cite
@article{arxiv.1601.04130,
title = {On some inequalities for submanifolds of Bochner Kaehler manifolds},
author = {Mehraj Ahmad Lone and Mohammad Jamali and Mohammad Hasan Shahid},
journal= {arXiv preprint arXiv:1601.04130},
year = {2016}
}
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16 pages