接近负弯对称度量的填充体积最小性和边界刚度

IF 1.3 2区数学 Q1 MATHEMATICS Mathematische Annalen Pub Date : 2024-07-21 DOI:10.1007/s00208-024-02941-6

Yuping Ruan

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引用次数: 0

摘要

本文概括了布拉戈（D. Burago）和伊万诺夫（S. Ivanov）关于几乎实双曲度量的填充体积最小性和边界刚性的研究成果（《杜克大学数学学报》162:1205-1248，2013 年）。我们证明，度量接近负弯对称度量的区域是严格的最小填充，因此边界是刚性的。这包括复双曲、四元双曲和 Cayley 双曲度量的扰动。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Filling volume minimality and boundary rigidity of metrics close to a negatively curved symmetric metric

This paper generalizes D. Burago and S. Ivanov’s work (Duke Math J 162:1205–1248, 2013) on filling volume minimality and boundary rigidity of almost real hyperbolic metrics. We show that regions with metrics close to a negatively curved symmetric metric are strict minimal fillings and hence boundary rigid. This includes perturbations of complex, quaternionic and Cayley hyperbolic metrics.

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来源期刊

Mathematische Annalen 数学-数学

CiteScore

2.90

自引率

7.10%

发文量

181

审稿时长

4-8 weeks

期刊介绍： Begründet 1868 durch Alfred Clebsch und Carl Neumann. Fortgeführt durch Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück und Nigel Hitchin. The journal Mathematische Annalen was founded in 1868 by Alfred Clebsch and Carl Neumann. It was continued by Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguigon, Wolfgang Lück and Nigel Hitchin. Since 1868 the name Mathematische Annalen stands for a long tradition and high quality in the publication of mathematical research articles. Mathematische Annalen is designed not as a specialized journal but covers a wide spectrum of modern mathematics.

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