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Ricci tensor of slant submanifolds in a quaternion projective space
Journal article   Peer reviewed

Ricci tensor of slant submanifolds in a quaternion projective space

Mohammad Hasan Shahid and Falleh R. Al-Solamy
Comptes rendus. Mathématique, Vol.349(9-10), pp.571-573
01/05/2011
DOI: https://doi.org/10.1016/j.crma.2011.01.013

Abstract

Mathematics Physical Sciences Science & Technology
We study slant submanifolds of quaternion Kaehler manifold and in particular of a quaternion projective space. We obtain a sharp estimate of the Ricci tensor of a slant submanifold M in a quaternion projective space QP(m)(4c) in terms of the main extrinsic invariant, namely the square mean curvature. (C) 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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