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Information Journal Paper

Title

RICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM

Pages

  31-51

Abstract

 Involving the RICCI CURVATURE and the squared mean curvature, we obtain basic inequalities for different kind of submanifolds of a SASAKIAN SPACE FORM tangent to the structure vector field of the ambient manifold. Contrary to already known results, we find a different necessary and sufficient condition for the equality case. We also give very simple proofs (1) for a basic inequality for RICCI CURVATURE of C-totally real sub manifolds of a SASAKIAN SPACE FORM, and (2) of the fact that if a C-totally real sub manifold of maximum dimension satisfies the equality case, then it must be minimal. Two basic inequalities for sub manifolds of any Riemannian manifold, one involving SCALAR CURVATURE and the squared mean curvature and the other involving the invariant  qk and the squared mean curvature are also obtained. These results are applied to get corresponding results for sub manifolds of SASAKIAN SPACE FORMs.

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    • Cite

    APA: Copy

    HONG, S., & TRIPATHI, M.M.. (2006). RICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 1(2), 31-51. SID. https://sid.ir/paper/310250/en

    Vancouver: Copy

    HONG S., TRIPATHI M.M.. RICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2006;1(2):31-51. Available from: https://sid.ir/paper/310250/en

    IEEE: Copy

    S. HONG, and M.M. TRIPATHI, “RICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 1, no. 2, pp. 31–51, 2006, [Online]. Available: https://sid.ir/paper/310250/en

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