Bipolar comparison

Nina Lebedeva; Anton Petrunin; Vladimir Zolotov

doi:10.1007/s00039-019-00481-9

Bipolar comparison

Nina Lebedeva
, Anton Petrunin
, Vladimir Zolotov

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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 language	English (US)
Pages (from-to)	258-282
Number of pages	25
Journal	Geometric and Functional Analysis
Volume	29
Issue number	1
DOIs	https://doi.org/10.1007/s00039-019-00481-9
State	Published - Feb 5 2019

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

Access to Document

10.1007/s00039-019-00481-9

Cite this

@article{ac05331984184ec0a58d705db35b7143,

title = "Bipolar comparison",

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.",

author = "Nina Lebedeva and Anton Petrunin and Vladimir Zolotov",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",

year = "2019",

month = feb,

day = "5",

doi = "10.1007/s00039-019-00481-9",

language = "English (US)",

volume = "29",

pages = "258--282",

journal = "Geometric and Functional Analysis",

issn = "1016-443X",

publisher = "Springer International Publishing",

number = "1",

}

TY - JOUR

T1 - Bipolar comparison

AU - Lebedeva, Nina

AU - Petrunin, Anton

AU - Zolotov, Vladimir

PY - 2019/2/5

Y1 - 2019/2/5

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85061922026

UR - https://www.scopus.com/pages/publications/85061922026#tab=citedBy

U2 - 10.1007/s00039-019-00481-9

DO - 10.1007/s00039-019-00481-9

M3 - Article

AN - SCOPUS:85061922026

SN - 1016-443X

VL - 29

SP - 258

EP - 282

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 1

ER -

Bipolar comparison

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this