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