ON COMPLEX RANDERS METRICS
2010 ◽
Vol 21
(08)
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pp. 971-986
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A characteristic for a complex Randers metric to be a complex Berwald metric is obtained. The formula of the holomorphic curvature for complex Randers metrics is given. It is shown that a complex Berwald Randers metric with isotropic holomorphic curvature must be either usually Kählerian or locally Minkowskian. The Deicke and Brickell theorems in complex Finsler geometry are also proved.
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2015 ◽
Vol 12
(10)
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pp. 1550105
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2012 ◽
Vol 09
(04)
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pp. 1250034
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2011 ◽
Vol 08
(03)
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pp. 501-510
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2012 ◽
Vol 387
(2)
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pp. 1137-1145
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2017 ◽
Vol 15
(01)
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pp. 1850015