Convergence of Riemannian surfaces and convergence of the Bergman kernel
classification
🧮 math.CV
keywords
convergenceriemannianbergmancompletekernelsurfacescheeger-gromovconverges
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Let $\{M_j\}$ be a sequence of complete Riemannian surfaces which converges in the sense of Cheeger-Gromov to a complete Riemannian surface $M$. We study the convergence of the Bergman kernel $K_{M_j}$ of $M_j$ by using isoperimetric inequalities.
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