Some characterizations of Pseudo-Complex space forms

Authors : R K NAGAICH

Pages : 0-0

Doi:10.1501/Commua1_0000000567

View : 34 | Download : 9

Publication Date : 1984-01-01

Article Type : Research Paper

Abstract :B. Y . Chen and K. Ogiue [2] have proved th a t a K ahler m anifold is a complex space form if and only if it has constant antiholom orphic sectional curvature. In th is note we extend this result to a Pseudo-K ahler manifold and give another characterization of a Pseudo-Complex space form, which m ay be considered as a complex version of the criterian for constancy of sectional curvature of a R iem annian Manifold, ohtained by Cartan [1].
Keywords : characterizations, Pseudo Complex, forms

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