科研之友
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摘要
In this note, we prove the following result. There is a positive constant epsilon(n, I >) such that if M (n) is a simply connected compact Kahler manifold with sectional curvature bounded from above by I >, diameter bounded from above by 1, and with holomorphic bisectional curvature H a parts per thousand yen -epsilon(n, I >), then M (n) is diffeomorphic to the product M (1) x a <- x M (k) , where each M (i) is either a complex projective space or an irreducible Kahler-Hermitian symmetric space of rank a parts per thousand yen 2. This resolves a conjecture of Fang under the additional upper bound restrictions on sectional curvature and diameter.
- 出版日期2009-10
- 单位北京师范大学
