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arXiv · 1808.03925

Rotation invariant singular Kähler metrics with constant scalar curvature on $\mathbb{C}^n$

Weiyong He·Jun Li
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Abstract

The scalar curvature equation for rotation invariant Kähler metrics on $\mathbb{C}^n \backslash \{0\}$ is reduced to a system of ODEs of order 2. By solving the ODEs, we obtain complete lists of rotation invariant zero or positive csck on $\mathbb{C}^n \backslash \{0\}$ in lower dimensions. We also prove that there does not exist negative csck on $\mathbb{C}^n \backslash \{0\}$ for $n=2,3$.

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BibTeXRIS

Weiyong He, Jun Li. 2018-12-27. Rotation invariant singular Kähler metrics with constant scalar curvature on $\mathbb{C}^n$. https://arxiv.org/abs/1808.03925

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