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arXiv · 2311.04111

Smooth equivalence of families of strongly pseudoconvex domains

Hervé Gaussier·Xianghong Gong·Andrew Zimmer
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Abstract

We establish a smoothness result for families of biholomorphisms between smooth families of strongly pseudoconvex domains, each with trivial biholomorphism group. This is accomplished by considering the Riemannian geometry of their Bergman metrics and proving a result about the smoothness of families of isometries between smooth families of Riemannian manifolds.

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Hervé Gaussier, Xianghong Gong, Andrew Zimmer. 2023-11-07. Smooth equivalence of families of strongly pseudoconvex domains. https://arxiv.org/abs/2311.04111

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