Fiberwise Clabi-Yau Foliation is not foliation

Hassan Jolany (1)

1 LPP - Laboratoire Paul Painlevé - UMR 8524

Fiberwise Calabi-Yau metric introduced by Greene,Shapire,Vafa, and Yau [3] in the context of string theory. In this note by inspiring the works of S.T.Yau [3], Song-Tian [1],Bedford-Kalka [15], Chen-Tian[11], Tsuji [14] we introduce fiberwise Calabi-Yau foliation which relies in the context of generalized notion of foliation in complex geometry(not exactly foliation). In fact fiberwise Calabi-Yau foliation is foliation in fiber direction and it may not be foliation in horizontal direction and that’s why this type of bundle generalize the notion of foliation in context of complex geometry and moduli space of Calabi-Yau manifolds.

Domaines: Mathématiques [math]

Hassan Jolany. Fiberwise Clabi-Yau Foliation is not foliation. 2017. ⟨hal-01551080⟩