EQUIVALENT STRUCTURES ON N (κ) MANIFOLD ADMITTING GENERALIZED TANAKA WEBSTER CONNECTION

Shweta Naik; H. G. Nagaraja

doi:10.56827/SEAJMMS.2022.1803.16

Shweta Naik Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bengaluru - 560056, Karnataka, INDIA
H. G. Nagaraja Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bengaluru - 560056, Karnataka, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2022.1803.16

Abstract

The main objective of the present paper is to study the equivalence of semi-symmetric and pseudo-symmetric conditions imposing on different curvature tensors in N (κ) manifolds admitting generalized Tanaka Webster ( ˜) connection. Classification is done according as expression of Ricci tensor and scalar curvature with respect to ∇˜. Finally an example is given.

Author Biography

Shweta Naik, Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bengaluru - 560056, Karnataka, INDIA