On some inequalities for submanifolds of Bochner Kaehler manifolds

Mehraj Ahmad Lone; Mohammad Jamali; Mohammad Hasan Shahid

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arXiv · 1601.04130

On some inequalities for submanifolds of Bochner Kaehler manifolds

Mehraj Ahmad Lone·Mohammad Jamali·Mohammad Hasan Shahid

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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.

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BibTeX RIS

Mehraj Ahmad Lone, Mohammad Jamali, Mohammad Hasan Shahid. 2016-01-16. On some inequalities for submanifolds of Bochner Kaehler manifolds. https://arxiv.org/abs/1601.04130

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