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Pure Mathematics 2023
两个度量的Gromov双曲性和强双曲性
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Abstract:
本文提出了在同一空间上的两个度量是sign-型的概念，研究了两个sign-型的Gromov双曲度量的和也具有Gromov双曲性，并推广至其线性组合的Gromov双曲性。在Ptolemy空间中，我们构造了一种强双曲度量。
We introduce the notion of sign-likeness of two metrics on the same space, and study the Gromov hyperbolicity of the sum of two sign-like metrics which is generalized to the Gromov hyperbolicity of their linear combinations. In a Ptolemy space, we also construct a strongly hyperbolic metric.
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