Curvature tensor of almost $C(lambda)$ manifolds

S. R. Ashokaa , C. S. Bagewadib,* and Gurupadavva Ingalahallic

Curvature tensor of almost $C(lambda)$ manifolds

Authors :

S. R. Ashoka^a , C. S. Bagewadi^b,* and Gurupadavva Ingalahalli^c

Author Address :

^a,b,cDepartment of Mathematics, Kuvempu University, Shankaraghatta – 577 451, Shimoga, Karnataka, India.

*Corresponding author.

Abstract :

The present paper deals with certain characterization of curvature conditions on Pseudo-projective and Quasi-conformal curvature tensor on almost $C(lambda)$
manifolds. The main object of the paper is to study the flatness of the Pseudo-projective, Quasi-conformal curvature tensor, $xi$-Pseudo-projective, $xi$-Quasi-conformal curvature tensor on almost $C(lambda)$ manifolds.

Keywords :

Almost $C(lambda)$ manifolds, Pseudo-projective curvature tensor, Quasi-conformal curvature tensor, $xi$-Pseudo-projectively flat, $xi$-Quasi-conformally flat, $eta$-Ei

DOI :

Article Info :

Received : September 14, 2013; Accepted : October 31, 2013.