On Cosymplectic Manifold with H-Conformal Curvature C ̅

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 M_n (n=2m+1) possessing the orthonormal basis {e_i, Fe_i}, 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.