Relative Kähler-Einstein metric on Kähler varieties of positive Kodaira dimension

Hassan Jolany (1)

1 LPP - Laboratoire Paul Painlevé - UMR 8524

In this paper I have introduced a new notion of canonical metric. The notion of generalized Kähler-Einstein metric on the Kähler varieties with an intermediate Kodaira dimension is not suitable and we need to replace Kähler-Einstein metric (KE) to new notion of Relative Kähler-Einstein metric (RKE) for such varieties and its connection with fiberwise Calabi-Yau foliation

Keywords: Kähler-Einstein metrics; Fiberwise Calabi-Yau foliation; Relative Kähler-Einstein metric

Domains: Mathematics [math]

Hassan Jolany. Relative Kähler-Einstein metric on Kähler varieties of positive Kodaira dimension. 2016. ⟨hal-01413754v1⟩