Standard

On Tabachnikov’s conjecture. / Nazarov, A. I.; Petrov, F. V.

в: St. Petersburg Mathematical Journal, Том 19, № 1, 01.01.2008, стр. 125-135.

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

Harvard

Nazarov, AI & Petrov, FV 2008, 'On Tabachnikov’s conjecture', St. Petersburg Mathematical Journal, Том. 19, № 1, стр. 125-135. https://doi.org/10.1090/S1061-0022-07-00989-2

APA

Nazarov, A. I., & Petrov, F. V. (2008). On Tabachnikov’s conjecture. St. Petersburg Mathematical Journal, 19(1), 125-135. https://doi.org/10.1090/S1061-0022-07-00989-2

Vancouver

Nazarov AI, Petrov FV. On Tabachnikov’s conjecture. St. Petersburg Mathematical Journal. 2008 Янв. 1;19(1):125-135. https://doi.org/10.1090/S1061-0022-07-00989-2

Author

Nazarov, A. I. ; Petrov, F. V. / On Tabachnikov’s conjecture. в: St. Petersburg Mathematical Journal. 2008 ; Том 19, № 1. стр. 125-135.

BibTeX

@article{71f68a1fae8343fca7b2c7e5633fc1ec,
title = "On Tabachnikov{\textquoteright}s conjecture",
abstract = "Tabachnikov{\textquoteright}s conjecture is proved: for any closed curve Γ lying inside a convex closed curve Γ1 the mean absolute curvature T(Γ) exceeds T(Γ1) if Γ ≠ kΓ1.",
keywords = "Convexity, Geometric inequalities, Mean absolute curvature",
author = "Nazarov, {A. I.} and Petrov, {F. V.}",
year = "2008",
month = jan,
day = "1",
doi = "10.1090/S1061-0022-07-00989-2",
language = "English",
volume = "19",
pages = "125--135",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "1",

}

RIS

TY - JOUR

T1 - On Tabachnikov’s conjecture

AU - Nazarov, A. I.

AU - Petrov, F. V.

PY - 2008/1/1

Y1 - 2008/1/1

N2 - Tabachnikov’s conjecture is proved: for any closed curve Γ lying inside a convex closed curve Γ1 the mean absolute curvature T(Γ) exceeds T(Γ1) if Γ ≠ kΓ1.

AB - Tabachnikov’s conjecture is proved: for any closed curve Γ lying inside a convex closed curve Γ1 the mean absolute curvature T(Γ) exceeds T(Γ1) if Γ ≠ kΓ1.

KW - Convexity

KW - Geometric inequalities

KW - Mean absolute curvature

UR - http://www.scopus.com/inward/record.url?scp=85009794063&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-07-00989-2

DO - 10.1090/S1061-0022-07-00989-2

M3 - Article

AN - SCOPUS:85009794063

VL - 19

SP - 125

EP - 135

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 1

ER -

ID: 45872515