- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 33
- Some characterizations of Pseudo-Complex space forms
Some characterizations of Pseudo-Complex space forms
Authors : R. K. Nagaich
Pages : 0-0
Doi:10.1501/Commua1_0000000567
View : 9 | Download : 5
Publication Date : 1984-01-01
Article Type : Research
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