Deformation of conic negative Kähler-Einstein manifolds

Yan LI

doi:10.1007/s11464-016-0600-5

Front. Math. China ›› 2017, Vol. 12 ›› Issue (3) :597 -606. DOI: 10.1007/s11464-016-0600-5

RESEARCH ARTICLE

Deformation of conic negative Kähler-Einstein manifolds

Yan LI ^†

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Abstract

In this note, we investigate the behavior of a smooth flat family of n-dimensional conic negative Kähler-Einstein manifolds. By H. Guenancia’s argument, a cusp negative Kähler-Einstein metric is the limit of conic negative Kähler-Einstein metric when the cone angle tends to 0. Furthermore, it establishes the behavior of a smooth flat family of n-dimensional cusp negative Kähler-Einstein manifolds.

Keywords

Conic Kähler-Einstein metric, / $C l o c ∞$ convergence

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Yan LI. Deformation of conic negative Kähler-Einstein manifolds. Front. Math. China, 2017, 12(3): 597-606 DOI:10.1007/s11464-016-0600-5

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