上曲率界的等周表征

IF 5.4 3区材料科学 Q2 CHEMISTRY, PHYSICAL

ACS Applied Energy Materials Pub Date : 2016-11-16 DOI:10.4310/ACTA.2018.V221.N1.A5

A. Lytchak, S. Wenger

引用次数: 32

摘要

证明了一个固有测地线度量空间在Alexandrov意义上具有非正曲率，当且仅当它满足曲线的欧几里得等周不等式。我们的结果推广到非测地线空间和非零曲率边界。

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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Isoperimetric characterization of upper curvature bounds

We prove that a proper geodesic metric space has non-positive curvature in the sense of Alexandrov if and only if it satisfies the Euclidean isoperimetric inequality for curves. Our result extends to non-geodesic spaces and non-zero curvature bounds.

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来源期刊

ACS Applied Energy Materials Materials Science-Materials Chemistry

CiteScore

10.30

自引率

6.20%

发文量

1368

期刊介绍： ACS Applied Energy Materials is an interdisciplinary journal publishing original research covering all aspects of materials, engineering, chemistry, physics and biology relevant to energy conversion and storage. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important energy applications.