Fiberwise Clabi-Yau Foliation is not foliationReport as inadecuate

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1 LPP - Laboratoire Paul Painlevé

Abstract : Fiberwise Calabi-Yau metric introduced by Greene,Shapire,Vafa, and Yau 3 in the context of string theory. In this note by inspiringthe works of S.T.Yau 3, Song-Tian 1,Bedford-Kalka 15, Chen-Tian11, Tsuji 14 weintroduce fiberwise Calabi-Yau foliation which relies in the context of generalized notion offoliation in complex geometrynot exactly foliation. In fact fiberwise Calabi-Yau foliationis foliation in fiber direction and it may not be foliation in horizontal direction and that’swhy this type of bundle generalize the notion of foliation in context of complex geometryand moduli space of Calabi-Yau manifolds.

Author: Hassan Jolany -



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