Year: 2009
Author: Jianyu Liu, Ximin Liu
Communications in Mathematical Research , Vol. 25 (2009), Iss. 4 : pp. 340–348
Abstract
In this paper, we obtain some sharp inequalities between the Ricci curvature and the squared mean curvature for bi-slant and semi-slant submanifolds in Kenmotsu space forms. Estimates of the scalar curvature and the $k$-Ricci curvature, in terms of the squared mean curvature, are also proved respectively.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CMR-19355
Communications in Mathematical Research , Vol. 25 (2009), Iss. 4 : pp. 340–348
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Kenmotsu space form Ricci curvature k-Ricci curvature bi-slant submanifold semi-slant submanifold.