COMPLEX BERWALD MANIFOLDS WITH VANISHING HOLOMORPHIC SECTIONAL CURVATURE*

COMPLEX BERWALD MANIFOLDS WITH VANISHING HOLOMORPHIC SECTIONAL CURVATURE*
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DOI:
10.1017/s001708950800414x
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发表时间:
2008-05
影响因子:
0.5
通讯作者:
R. Yan
R. Yan
中科院分区:
数学4区
文献类型:
--
作者:
R. Yan

文献摘要

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本文证明了强凸Kähler-Finsler度量是具有零全纯截面曲率的复Berwald度量当且仅当它是复局部Minkowski度量.
Abstract In this paper, we prove that a strongly convex and Kähler-Finsler metric is a complex Berwald metric with zero holomorphic sectional curvature if and only if it is a complex locally Minkowski metric.