Constancy of Holomorphic Sectional Curvature for Indefinite S- Manifolds

Abstract

Kumar et al. (2009) provided an algebraic characterization for an indefinite Sasakian manifold to reduce to a space of constant  holomorphic sectional curvature. In this present paper, we generalize the characterization for indfinite S -manifolds, which is a space of constant  holomorphic sectional curvature if and only if R (X , X) X is proportional to X.