Journal of Advances in Mathematics and Computer Science

Constancy of Holomorphic Sectional Curvature for Indefinite S- Manifolds

Jae Won Lee *

Department of Mathematics, Academia-Sinica, Taipei 10617, Taiwan.

*Author to whom correspondence should be addressed.

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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.

Keywords: sectional curvature, S- manifold, indefinite S- manifold

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