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Uniqueness of a Three-Dimensional Ellipsoid with Given Intrinsic Volumes. / Petrov, Fedor; Tarasov, Alexander.

In: Arnold Mathematical Journal, Vol. 6, No. 2, 01.06.2020, p. 163-171.

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

Harvard

Petrov, F & Tarasov, A 2020, 'Uniqueness of a Three-Dimensional Ellipsoid with Given Intrinsic Volumes', Arnold Mathematical Journal, vol. 6, no. 2, pp. 163-171. https://doi.org/10.1007/s40598-020-00137-9

APA

Petrov, F., & Tarasov, A. (2020). Uniqueness of a Three-Dimensional Ellipsoid with Given Intrinsic Volumes. Arnold Mathematical Journal, 6(2), 163-171. https://doi.org/10.1007/s40598-020-00137-9

Vancouver

Petrov F, Tarasov A. Uniqueness of a Three-Dimensional Ellipsoid with Given Intrinsic Volumes. Arnold Mathematical Journal. 2020 Jun 1;6(2):163-171. https://doi.org/10.1007/s40598-020-00137-9

Author

Petrov, Fedor ; Tarasov, Alexander. / Uniqueness of a Three-Dimensional Ellipsoid with Given Intrinsic Volumes. In: Arnold Mathematical Journal. 2020 ; Vol. 6, No. 2. pp. 163-171.

BibTeX

@article{c97e184a98144dc18c989a1ad7f46444,
title = "Uniqueness of a Three-Dimensional Ellipsoid with Given Intrinsic Volumes",
abstract = "Let E be an ellipsoid in Rn. Gusakova and Zaporozhets conjectured that E is uniquely (up to rigid motions) determined by its intrinsic volumes. We prove this conjecture for n= 3.",
keywords = "Ellipsoid, Intrinsic volumes, Mean width, Mixed volume",
author = "Fedor Petrov and Alexander Tarasov",
note = "Funding Information: We are grateful to D. Zaporozhets for introducing us to this problem, the permanent attention to the work and helpful advices; and to P. Nikitin and G. Monakov for fruitful discussions. The work was supported by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” and by RFBR and DFG according to the research project No 20-51-12004. Publisher Copyright: {\textcopyright} 2020, Institute for Mathematical Sciences (IMS), Stony Brook University, NY. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = jun,
day = "1",
doi = "10.1007/s40598-020-00137-9",
language = "English",
volume = "6",
pages = "163--171",
journal = "Arnold Mathematical Journal",
issn = "2199-6792",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Uniqueness of a Three-Dimensional Ellipsoid with Given Intrinsic Volumes

AU - Petrov, Fedor

AU - Tarasov, Alexander

N1 - Funding Information: We are grateful to D. Zaporozhets for introducing us to this problem, the permanent attention to the work and helpful advices; and to P. Nikitin and G. Monakov for fruitful discussions. The work was supported by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” and by RFBR and DFG according to the research project No 20-51-12004. Publisher Copyright: © 2020, Institute for Mathematical Sciences (IMS), Stony Brook University, NY. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/6/1

Y1 - 2020/6/1

N2 - Let E be an ellipsoid in Rn. Gusakova and Zaporozhets conjectured that E is uniquely (up to rigid motions) determined by its intrinsic volumes. We prove this conjecture for n= 3.

AB - Let E be an ellipsoid in Rn. Gusakova and Zaporozhets conjectured that E is uniquely (up to rigid motions) determined by its intrinsic volumes. We prove this conjecture for n= 3.

KW - Ellipsoid

KW - Intrinsic volumes

KW - Mean width

KW - Mixed volume

UR - http://www.scopus.com/inward/record.url?scp=85083054829&partnerID=8YFLogxK

U2 - 10.1007/s40598-020-00137-9

DO - 10.1007/s40598-020-00137-9

M3 - Article

AN - SCOPUS:85083054829

VL - 6

SP - 163

EP - 171

JO - Arnold Mathematical Journal

JF - Arnold Mathematical Journal

SN - 2199-6792

IS - 2

ER -

ID: 75247874