摘要
We give an elementary proof to the asymptotic expansion formula of Rochon and Zhang(2012)for the unique complete Kahler-Einstein metric of Cheng and Yau(1980),Kobayashi(1984),Tian and Yau(1987)and Bando(1990)on quasi-projective manifolds.The main tools are the solution formula for second-order ordinary differential equations(ODEs)with constant coefficients and spectral theory for the Laplacian operator on a closed manifold.
基金
supported by National Natural Science Foundation of China(Grant Nos.11331001 and 11871265)
the Hwa Ying Foundation for its financial support and thanks Professor Jian Song for his invitation。
