• 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