COMPLEX PRODUCT MANIFOLDS AND BOUNDS OF CURVATURE
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香港中文大學研究人員

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摘要Let M = X x Y be the product of two complex manifolds of positive dimension. In this paper, we prove that there is no complete Kahler metric g on M such that: either (i) the holomorphic bisectional curvature of g is bounded by a negative constant and the Ricci curvature is bounded below by -C (1 + r(2)) where r is the distance from a fixed point; or (ii) g has nonpositive sectional curvature and the holomorphic bisectional curvature is bounded above by -B (1 + r(2))(-delta) and the Ricci curvature is bounded below by -A(1+ r(2))(gamma) where A, B, gamma, delta are positive constants with gamma + 2 delta < 1. These are generalizations of some previous results, in particular the result of Seshadri and Zheng [8].
著者Tam LF, Yu CJ
期刊名稱Asian Journal of Mathematics
出版年份2010
月份6
日期1
卷號14
期次2
出版社International Press
頁次235 - 242
國際標準期刊號1093-6106
電子國際標準期刊號1945-0036
語言英式英語
關鍵詞bisectional curvature; Complex products; Kahler manifolds; negative curvature
Web of Science 學科類別Mathematics; MATHEMATICS; Mathematics, Applied; MATHEMATICS, APPLIED

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