Title of article :
Ricci curvature of slant submanifolds in (k, μ)-contact space forms
Author/Authors :
SHUKLA, S.S. University of Allahabad - Department of Mathematics, India , TIWARI, SANJAY KUMAR University of Allahabad - Department of Mathematics, India
From page :
31
To page :
49
Abstract :
B.Y. Chen (1999) established a clear relationship involving intrinsic invariants, namely the sectional curvature and the scalar curvature and the main extrinsic invariants, namely the squared mean curvature for a submanifold in real space form with arbitrary co-dimension. In this article, we establish inequalities between the Ricci curvature and the squared mean curvature, and also between the s-Ricci curvature and the scalar curvature for a slant, semi-slant and bi-slant submanifolds in (k, μ) contact space forms.
Keywords :
Mean curvature , sectional curvature , scalar curvature , s , Ricci curvature , slant submanifold , semi , slant submanifold , bi , slant submanifold , (k , μ) , contact space form. contact space form.
Journal title :
Kuwait Journal of Science
Journal title :
Kuwait Journal of Science
Record number :
2573393
Link To Document :
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