Affiliation:
1. School of Mathematics and Information Science , Henan Normal University , Xinxiang 453007 , Henan , P. R. China
Abstract
Abstract
In this paper, Hopf hypersurfaces in a complex projective plane ℂP
2(c) or a complex hyperbolic plane ℂH
2(c) with constant scalar curvature are classified. For a non-Hopf hypersurface in ℂP
2(c) with constant scalar curvature r, it is proved that if the structure vector field is an eigenvector of the Ricci operator, then either r = 7c/2 or r = 3c/2. Moreover, these two cases are determined completely under an additional condition.
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4 articles.
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