H- Conharmonic * (Star) Curvature tensor L ̃...

H- Conharmonic * (Star) Curvature tensor L ̃ With Cosymplectic Manifold

Author Name : Savita Verma

ABSTRACT

Tokagi, H and Watanabe [1] Yano, Y. [2], Mishra, R.S. [3], Pandey [4], Tachibana, S. [5] etc., have studied H-Conharmonic^* (Star) 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-Conharmonic^* (Star)   Curvature tensor 

WOrDS: H-Conharmonic^* (Star)   Curvature tensor, Cosymplectic manifold, orthonormal basis, almost contact metric (almost Grayan) manifold, Sectional curvature etc.