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Bipolar comparison. / Lebedeva, Nina; Petrunin, Anton; Zolotov, Vladimir.

In: Geometric and Functional Analysis, Vol. 29, No. 1, 02.2019, p. 258-282.

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

Harvard

Lebedeva, N, Petrunin, A & Zolotov, V 2019, 'Bipolar comparison', Geometric and Functional Analysis, vol. 29, no. 1, pp. 258-282. https://doi.org/10.1007/s00039-019-00481-9

APA

Lebedeva, N., Petrunin, A., & Zolotov, V. (2019). Bipolar comparison. Geometric and Functional Analysis, 29(1), 258-282. https://doi.org/10.1007/s00039-019-00481-9

Vancouver

Lebedeva N, Petrunin A, Zolotov V. Bipolar comparison. Geometric and Functional Analysis. 2019 Feb;29(1):258-282. https://doi.org/10.1007/s00039-019-00481-9

Author

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

BibTeX

@article{71392510b05047db972482eb29fc0125,
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 = "Lebedeva, N., Petrunin, A. & Zolotov, V. Geom. Funct. Anal. (2019) 29: 258. https://doi.org/10.1007/s00039-019-00481-9",
year = "2019",
month = feb,
doi = "10.1007/s00039-019-00481-9",
language = "English",
volume = "29",
pages = "258--282",
journal = "Geometric and Functional Analysis",
issn = "1016-443X",
publisher = "Birkh{\"a}user Verlag AG",
number = "1",

}

RIS

TY - JOUR

T1 - Bipolar comparison

AU - Lebedeva, Nina

AU - Petrunin, Anton

AU - Zolotov, Vladimir

N1 - Lebedeva, N., Petrunin, A. & Zolotov, V. Geom. Funct. Anal. (2019) 29: 258. https://doi.org/10.1007/s00039-019-00481-9

PY - 2019/2

Y1 - 2019/2

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 - http://www.scopus.com/inward/record.url?scp=85061922026&partnerID=8YFLogxK

U2 - 10.1007/s00039-019-00481-9

DO - 10.1007/s00039-019-00481-9

M3 - Article

AN - SCOPUS:85061922026

VL - 29

SP - 258

EP - 282

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

SN - 1016-443X

IS - 1

ER -

ID: 49951942