Improved Chen Inequality of Sasakian Space Forms with the Tanaka-Webster Connection

Abstract

In this paper, we establish an improved Chen inequality between

the pseudo-Ricci curvature and the square of pseudo mean

curvature with respect to the Tanaka-Webster connection in

Sasakian space forms, and also we study an improved Chen

inequality for anti-invariant submanifolds. The equality case is

considered.