Research output: Contribution to journal › Article › peer-review
On Tabachnikov’s conjecture. / Nazarov, A. I.; Petrov, F. V.
In: St. Petersburg Mathematical Journal, Vol. 19, No. 1, 01.01.2008, p. 125-135.Research output: Contribution to journal › Article › peer-review
}
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