Constancy of ϕ-holomorphic sectional curvature of (ε)-Sasakian manifolds

Abstract

The study of constancy of holomorphic sectional curvature of almost Hermitian manifolds was initiated by S. Tanno [8]. He provided an algebraic characterization for an almost Hermitian manifold to reduce to a space of constant holomorphic sectional curvature, which he later extended for Sasakian manifolds as well. In the present paper authors considered the similar condition to characterize another class of almost contact indefinite manifolds known as (e)-Sasakian manifolds.