On Ricci Curvature of Certain Submanifolds in a Cosymplectic Space Form
DOI:
https://doi.org/10.5644/SJM.02.1.10Keywords:
Cosymplectic space form, Ricci curvature, $k$-Ricci curvature, slant submanifold, bi-slant submanifold, semi-slant submanifoldAbstract
In this paper, we obtain some sharp inequalities between the Ricci curvature and the squared mean curvature for slant, bi-slant and semi-slant submanifolds in cosymplectic space forms. Estimates of the scalar curvature and the $k$-Ricci curvature, in terms of the squared mean curvature, are also proved respectively.
2000 Mathematics Subject Classification. 53C40, 53C15
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References
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