Study  on generalized pseudo conharmonically  symmetric manifolds

Akshoy Patra

doi:10.26637/mjm904/010

Abstract

In this paper, a type of Riemannian manifold, namely Generalized pseudo conharmonically symmetric manifold is studied. Several geometric properties of such spaces are studied. By imposing different restrictions on the conharmonic curvature tensor, we have obtained several properties. If the conharmonic curvature tensor is harmonic then the form of the scalar curvature is obtained. Also, the relations among the 1-forms under various conditions are obtained.

Keywords:

Pseudo symmetry, Second Bianchi Identity, Conharmonic curvature tensor, Harmonic curvature tensor

Mathematics Subject Classification:

53C20, 53C21, 53C44

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Akshoy Patra Government College of Engineering and Textile Technology, Berhampore, 742101, Dist. Murshidabad, West Bengal, India.

Pages: 259-264
Date Published: 01-10-2021
Vol. 9 No. 04 (2021): Malaya Journal of Matematik (MJM)

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