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COMPLEX BERWALD MANIFOLDS WITH VANISHING HOLOMORPHIC SECTIONAL CURVATURE*

Published online by Cambridge University Press:  01 May 2008

RONGMU YAN
RONGMU YAN*
Affiliation:
School of Mathematical Science, Xiamen university, 361005, P.R. China e-mail: [email protected]
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Abstract

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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.

Keywords

53C5632Q99
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 2 , May 2008 , pp. 203 - 208
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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