Some characterizations of Pseudo-Complex space forms

Yıl 1984, Cilt: 33 , - , 01.01.1984

R. K. Nagaıch

https://doi.org/10.1501/Commua1_0000000567

Öz

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].

Anahtar Kelimeler

characterizations, Pseudo-Complex, forms

Kaynakça

• Communications, Series A1:Mathematics and Statistics