Advances in Mathematical Physics
Volume 2011 (2011), Article ID 527434, 9 pages
http://dx.doi.org/10.1155/2011/527434
Research Article

Constancy of 𝝓 -Holomorphic Sectional Curvature for an Indefinite Generalized 𝑔 ⋅ 𝑓 ⋅ 𝑓 -Space Form

Jae Won Lee

Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea

Received 15 June 2011; Revised 18 July 2011; Accepted 16 September 2011

Academic Editor: B. G. Konopelchenko

Copyright © 2011 Jae Won Lee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Bonome et al., 1997, provided an algebraic characterization for an indefinite Sasakian manifold to reduce to a space of constant 𝜙 -holomorphic sectional curvature. In this present paper, we generalize the same characterization for indefinite 𝑔 ⋅ 𝑓 ⋅ 𝑓 -space forms.