1. Home
    2. Journals
    3. Proceedings – Mathematical Sciences
    4. Volume 112
    5. Issue 3

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/112/03/0415-0423

    • Keywords

       

      Locally conformal almost cosymplectic manifold; invariant submanifold; semi-invariant submanifold; δM-invariant; squared mean curvature

    • Abstract

       

      For submanifolds tangent to the structure vector field in locally conformal almost cosymplectic manifolds of pointwise constantφ-sectional curvature, we establish a basic inequality between the main intrinsic invariants of the submanifold on one side, namely its sectional curvature and its scalar curvature; and its main extrinsic invariant on the other side, namely its squared mean curvature. Some applications including inequalities between the intrinsic invariantδM and the squared mean curvature are given. The equality cases are also discussed.

    • Author Affiliations

       

      Mukut Mani Tripathi1 Jeong-Sik Kim2 Seon-Bu Kim3

      1. Department of Mathematics and Astronomy, Lucknow University, Lucknow - 226 007, India
      2. Department of Mathematics Education, Sunchon National University, Sunchon - 540-742, Korea
      3. Department of Mathematics, Chonnam National University, Kwangju - 500-757, Korea

    • Dates

       
      Published
      August 2002
      Manuscript received
      29 December 2001

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2022-2023 Indian Academy of Sciences, Bengaluru.

Contact | Site index