On Cosymplectic Manifold with H-Conformal Curvature C ̅

Authors

  • Savita Verma Associate Professor, Department of Mathematics, Pt. L. M. S. Govt. P.G. College, Rishikesh, India

Keywords:

Almost contact metric (almost Grayan) manifold, Cosymplectic manifold, H-Conformal Curvature tensor, Orthonormal basis, Sectional curvature

Abstract

Tokagi, H and Watanabe [1] Yano, Y. [2], Mishra, R.S. [3], Pandey [4] etc., have studied H-Conformal  Curvature tensor , The studies of Cosymplectic manifold with orthogonal basis equipped with different structure have been made by Yano [2 ], Tokagi [1] and Mishra [3].
Here we have discussed Cosymplectic manifold Mn (n=2m+1) possessing the orthonormal basis {ei, Fei}, i=1, 2, 3-------------2m of unit vector which are normal to the contact vector T, we have obtained the expression relating the sectional curvature and scalar curvature in H-Conformal  curvature tensor.

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Published

31-07-2020

Issue

Vol. 3 No. 7 (2020)

Section

Articles

License

Copyright (c) 2020 Savita Verma

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
S. Verma, “On Cosymplectic Manifold with H-Conformal Curvature C ̅”, IJRESM, vol. 3, no. 7, pp. 416–418, Jul. 2020, Accessed: May 09, 2024. [Online]. Available: https://journal.ijresm.com/index.php/ijresm/article/view/155