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Volume comparison via boundary distances. / Ivanov, Sergei.

Proceedings of the International Congress of Mathematicians 2010, ICM 2010. 2010. p. 769-784 (Proceedings of the International Congress of Mathematicians 2010, ICM 2010).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Ivanov, S 2010, Volume comparison via boundary distances. in Proceedings of the International Congress of Mathematicians 2010, ICM 2010. Proceedings of the International Congress of Mathematicians 2010, ICM 2010, pp. 769-784, International Congress of Mathematicians 2010, ICM 2010, Hyderabad, India, 19/08/10.

APA

Ivanov, S. (2010). Volume comparison via boundary distances. In Proceedings of the International Congress of Mathematicians 2010, ICM 2010 (pp. 769-784). (Proceedings of the International Congress of Mathematicians 2010, ICM 2010).

Vancouver

Ivanov S. Volume comparison via boundary distances. In Proceedings of the International Congress of Mathematicians 2010, ICM 2010. 2010. p. 769-784. (Proceedings of the International Congress of Mathematicians 2010, ICM 2010).

Author

Ivanov, Sergei. / Volume comparison via boundary distances. Proceedings of the International Congress of Mathematicians 2010, ICM 2010. 2010. pp. 769-784 (Proceedings of the International Congress of Mathematicians 2010, ICM 2010).

BibTeX

@inproceedings{fe9ee60c255f4dbda1d6381a8226a14d,
title = "Volume comparison via boundary distances",
abstract = "The main subject of this lecture is a connection between Gromov's filling volumes and a boundary rigidity problem of determining a Riemannian metric in a compact domain by its boundary distance function. A fruitful approach is to represent Riemannian metrics by minimal surfaces in a Banach space and to prove rigidity by studying the equality case in a filling volume inequality. I discuss recent results obtained with this approach and related problems in Finsler geometry.",
keywords = "Boundary distance rigidity, Filling volume, Minimal filling",
author = "Sergei Ivanov",
year = "2010",
month = dec,
day = "1",
language = "English",
isbn = "9814324302",
series = "Proceedings of the International Congress of Mathematicians 2010, ICM 2010",
pages = "769--784",
booktitle = "Proceedings of the International Congress of Mathematicians 2010, ICM 2010",
note = "International Congress of Mathematicians 2010, ICM 2010 ; Conference date: 19-08-2010 Through 27-08-2010",

}

RIS

TY - GEN

T1 - Volume comparison via boundary distances

AU - Ivanov, Sergei

PY - 2010/12/1

Y1 - 2010/12/1

N2 - The main subject of this lecture is a connection between Gromov's filling volumes and a boundary rigidity problem of determining a Riemannian metric in a compact domain by its boundary distance function. A fruitful approach is to represent Riemannian metrics by minimal surfaces in a Banach space and to prove rigidity by studying the equality case in a filling volume inequality. I discuss recent results obtained with this approach and related problems in Finsler geometry.

AB - The main subject of this lecture is a connection between Gromov's filling volumes and a boundary rigidity problem of determining a Riemannian metric in a compact domain by its boundary distance function. A fruitful approach is to represent Riemannian metrics by minimal surfaces in a Banach space and to prove rigidity by studying the equality case in a filling volume inequality. I discuss recent results obtained with this approach and related problems in Finsler geometry.

KW - Boundary distance rigidity

KW - Filling volume

KW - Minimal filling

UR - http://www.scopus.com/inward/record.url?scp=84877834517&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84877834517

SN - 9814324302

SN - 9789814324304

T3 - Proceedings of the International Congress of Mathematicians 2010, ICM 2010

SP - 769

EP - 784

BT - Proceedings of the International Congress of Mathematicians 2010, ICM 2010

T2 - International Congress of Mathematicians 2010, ICM 2010

Y2 - 19 August 2010 through 27 August 2010

ER -

ID: 49984123