Some Global Properties of Almost Pseudo Ricci Symmetric Manifolds Satisfying Codazzi Type of Ricci Tensor


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Authors

  • Abul Kalam Mondal Department of Mathematics, Acharya Prafulla Chandra College, New Barrackpore, Kolkata-700131, West Bengal, India

Keywords:

Almost pseudo Ricci symmetric manifold, compact, orientable manifold of this without boundary

Abstract

The object of the present paper is to study some global properties of almost pseudo Ricci symmetric manifold satisfying Codazzi type of Ricci tensor. Among others, it is proved that if a compact, orientable $A(PRS)_n$ satisfying Codazzi type of Ricci tensor without boundary admits a non-isometric conformal transformation, then the $A(PRS)_n$ is isometric to a sphere. Also we obtain a sufficient condition for a compact, orientable $A(PRS)_n$ satisfying Codazzi type of Ricci tensor without boundary to be conformal to a sphere in $E_{n+1}$.

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Published

15-06-2019

How to Cite

Abul Kalam Mondal. (2019). Some Global Properties of Almost Pseudo Ricci Symmetric Manifolds Satisfying Codazzi Type of Ricci Tensor. International Journal of Mathematics And Its Applications, 7(2), 51–57. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/248

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Section

Research Article