On Generalized Measure Contraction Property and Energy Functional over Lipschitz Maps

Kazuhiro Kuwae, Takashi Shioya

研究成果: Article査読

22 被引用数 (Scopus)

抄録

We construct Sobolev spaces and energy functionals over maps between metric spaces under the strong measure contraction property of Bishop-Gromov type, which is a generalized notion of Ricci curvature bounded below. We also present the notion of generalized measure contraction property, which gives a characterization of energies by approximating energies of Sturm type over Lipschitz maps.

本文言語English
ページ(範囲)105-121
ページ数17
ジャーナルPotential Analysis
15
1-2
DOI
出版ステータスPublished - 2001

ASJC Scopus subject areas

  • 分析

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