Bipolar comparison

Nina Lebedeva, Anton Petrunin, Vladimir Zolotov

Research output: Contribution to journalArticle

Abstract

We define a new type of metric comparison similar to the comparison of Alexandrov. We show that it has strong connections to continuity of optimal transport between regular measures on a Riemannian manifold, in particular to the so called MTW condition introduced by Xi-Nan Ma, Neil Trudinger and Xu-Jia Wang.

Original languageEnglish (US)
Pages (from-to)258-282
Number of pages25
JournalGeometric and Functional Analysis
Volume29
Issue number1
DOIs
StatePublished - Feb 5 2019

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Optimal Transport
Riemannian Manifold
Metric

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology

Cite this

Lebedeva, Nina ; Petrunin, Anton ; Zolotov, Vladimir. / Bipolar comparison. In: Geometric and Functional Analysis. 2019 ; Vol. 29, No. 1. pp. 258-282.
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Bipolar comparison. / Lebedeva, Nina; Petrunin, Anton; Zolotov, Vladimir.

In: Geometric and Functional Analysis, Vol. 29, No. 1, 05.02.2019, p. 258-282.

Research output: Contribution to journalArticle

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