WEYL CURVATURE OF A FINSLER SPACE-中国期刊网

摘要 TheWeylcurvatureofaFinslermetricisinvestigated.ThiscurvatureconstructedfromRiemannaincurvature.ItisanimportantprojectiveinvariantofFinslermetrics.TheauthorgivesthenecessaryconditionsonWeylcurvatureforaFinslermetrictobeRandersmetricandpresentsexamplesofRandersmetricswithnon-scalarcurvature.AglobalrigiditytheoremforcompactFinslermanifoldssatisfyingsuchconditionsisproved.ItisshowedthatforsuchaFinslermanifold,ifRicciscalarisnegative,thenFinslermetricisofRanderstype.

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WEYL CURVATURE OF A FINSLER SPACE

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WEYL CURVATURE OF A FINSLER SPACE

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