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Area spaces : First steps. / Burago, Dmitri; Ivanov, Sergei.

в: Geometric and Functional Analysis, Том 19, № 3, 2009, стр. 662-677.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Burago, D & Ivanov, S 2009, 'Area spaces: First steps', Geometric and Functional Analysis, Том. 19, № 3, стр. 662-677. https://doi.org/10.1007/s00039-009-0018-2

APA

Burago, D., & Ivanov, S. (2009). Area spaces: First steps. Geometric and Functional Analysis, 19(3), 662-677. https://doi.org/10.1007/s00039-009-0018-2

Vancouver

Burago D, Ivanov S. Area spaces: First steps. Geometric and Functional Analysis. 2009;19(3):662-677. https://doi.org/10.1007/s00039-009-0018-2

Author

Burago, Dmitri ; Ivanov, Sergei. / Area spaces : First steps. в: Geometric and Functional Analysis. 2009 ; Том 19, № 3. стр. 662-677.

BibTeX

@article{0995a20cb72448c685108d7b1ae1e649,
title = "Area spaces: First steps",
abstract = "We show that a Riemannian manifold of dimension at least 3 can be recovered from the space of boundaries of rectifiable integral 2-currents (the {"}lcycles{"}) equipped with the filling area distance, and discuss possible approaches to {"}spaces with area structures{"}.",
keywords = "Area space, Filling area, Flat norm, Integral current, Riemannian metric",
author = "Dmitri Burago and Sergei Ivanov",
note = "Funding Information: Keywords and phrases: Riemannian metric, integral current, filling area, flat norm, area space 2000 Mathematics Subject Classification: 53C65, 49Q15 The first author is partially supported by the NSF Grant DMS-0412166. The second author is partially supported by the Dynasty foundation and RFBR grant 08-01-00079-a. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",
year = "2009",
doi = "10.1007/s00039-009-0018-2",
language = "English",
volume = "19",
pages = "662--677",
journal = "Geometric and Functional Analysis",
issn = "1016-443X",
publisher = "Birkh{\"a}user Verlag AG",
number = "3",

}

RIS

TY - JOUR

T1 - Area spaces

T2 - First steps

AU - Burago, Dmitri

AU - Ivanov, Sergei

N1 - Funding Information: Keywords and phrases: Riemannian metric, integral current, filling area, flat norm, area space 2000 Mathematics Subject Classification: 53C65, 49Q15 The first author is partially supported by the NSF Grant DMS-0412166. The second author is partially supported by the Dynasty foundation and RFBR grant 08-01-00079-a. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 2009

Y1 - 2009

N2 - We show that a Riemannian manifold of dimension at least 3 can be recovered from the space of boundaries of rectifiable integral 2-currents (the "lcycles") equipped with the filling area distance, and discuss possible approaches to "spaces with area structures".

AB - We show that a Riemannian manifold of dimension at least 3 can be recovered from the space of boundaries of rectifiable integral 2-currents (the "lcycles") equipped with the filling area distance, and discuss possible approaches to "spaces with area structures".

KW - Area space

KW - Filling area

KW - Flat norm

KW - Integral current

KW - Riemannian metric

UR - http://www.scopus.com/inward/record.url?scp=84904989014&partnerID=8YFLogxK

U2 - 10.1007/s00039-009-0018-2

DO - 10.1007/s00039-009-0018-2

M3 - Article

AN - SCOPUS:84904989014

VL - 19

SP - 662

EP - 677

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

SN - 1016-443X

IS - 3

ER -

ID: 75048043