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].
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | January 1, 1984 |
Submission Date | January 1, 1984 |
Published in Issue | Year 1984 Volume: 33 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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