具有布斯曼函数的本征格罗莫夫双曲空间的均匀化

arXiv - MATH - Complex Variables Pub Date : 2024-08-02 DOI:arxiv-2408.01412

Vasudevarao Allu, Alan P Jose

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摘要

对于任何本征格罗莫夫双曲空间，我们都建立了保形变形空间的 Gehring-Hayman 类型定理。作为应用，我们证明了在格罗莫夫边界上至少有两个点的任何本征双曲空间都可以被布斯曼函数诱导的密度均匀化。

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Uniformization of intrinsic Gromov hyperbolic spaces with Busemann functions

For any intrinsic Gromov hyperbolic space we establish a Gehring-Hayman type theorem for conformally deformed spaces. As an application, we prove that any intrinsic hyperbolic space with atleast two points in the Gromov boundary can be uniformized by densities induced by Busemann functions.

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arXiv - MATH - Complex Variables

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