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Asymptotic expansions of complete K\"ahler-Einstein metrics with finite volume on quasi-projective manifolds. (arXiv:1809.06504v1 [math.DG])

来源于:arXiv
We give an elementary proof to the asymptotic expansion formula of Rochon-Zhang for the unique complete K\"ahler-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. 查看全文>>