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arXiv · 1809.06504

Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds

Xumin Jiang·Yalong Shi
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Abstract

We give an elementary proof to the asymptotic expansion formula of Rochon-Zhang for the unique complete Kähler-Einstein metric of Cheng-Yau, Kobayashi, Tian-Yau and Bando on quasi-projective manifolds. The main tools are the solution formula for second order ODE's with constant coefficients and spectral theory for Laplacian operator on a closed manifold.

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Xumin Jiang, Yalong Shi. 2018-09-18. Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds. https://arxiv.org/abs/1809.06504

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