Disks in Curves of Bounded Convex Curvature

Research output: Contribution to journal › Journal article › Research › peer-review

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Disks in Curves of Bounded Convex Curvature. / Aamand, Anders; Abrahamsen, Mikkel; Thorup, Mikkel.

In: American Mathematical Monthly, Vol. 127, No. 7, 2020, p. 579-593.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Aamand, A, Abrahamsen, M & Thorup, M 2020, 'Disks in Curves of Bounded Convex Curvature', American Mathematical Monthly, vol. 127, no. 7, pp. 579-593. https://doi.org/10.1080/00029890.2020.1752602

APA

Aamand, A., Abrahamsen, M., & Thorup, M. (2020). Disks in Curves of Bounded Convex Curvature. American Mathematical Monthly, 127(7), 579-593. https://doi.org/10.1080/00029890.2020.1752602

Vancouver

Aamand A, Abrahamsen M, Thorup M. Disks in Curves of Bounded Convex Curvature. American Mathematical Monthly. 2020;127(7):579-593. https://doi.org/10.1080/00029890.2020.1752602

Author

Aamand, Anders ; Abrahamsen, Mikkel ; Thorup, Mikkel. / Disks in Curves of Bounded Convex Curvature. In: American Mathematical Monthly. 2020 ; Vol. 127, No. 7. pp. 579-593.

Bibtex

@article{6f5916e082a24fd98b06f5754058add5,
title = "Disks in Curves of Bounded Convex Curvature",
abstract = "We say that a simple, closed curve γ in the plane has bounded convex curvature if for every point x on γ, there is an open unit disk Ux and (Formula presented.) such that (Formula presented.) and (Formula presented.). We prove that the interior of every curve of bounded convex curvature contains an open unit disk.",
keywords = "MSC: Primary 51M04, Secondary 53A04",
author = "Anders Aamand and Mikkel Abrahamsen and Mikkel Thorup",
year = "2020",
doi = "10.1080/00029890.2020.1752602",
language = "English",
volume = "127",
pages = "579--593",
journal = "American Mathematical Monthly",
issn = "0002-9890",
publisher = "Mathematical Association of America",
number = "7",

}

RIS

TY - JOUR

T1 - Disks in Curves of Bounded Convex Curvature

AU - Aamand, Anders

AU - Abrahamsen, Mikkel

AU - Thorup, Mikkel

PY - 2020

Y1 - 2020

N2 - We say that a simple, closed curve γ in the plane has bounded convex curvature if for every point x on γ, there is an open unit disk Ux and (Formula presented.) such that (Formula presented.) and (Formula presented.). We prove that the interior of every curve of bounded convex curvature contains an open unit disk.

AB - We say that a simple, closed curve γ in the plane has bounded convex curvature if for every point x on γ, there is an open unit disk Ux and (Formula presented.) such that (Formula presented.) and (Formula presented.). We prove that the interior of every curve of bounded convex curvature contains an open unit disk.

KW - MSC: Primary 51M04

KW - Secondary 53A04

U2 - 10.1080/00029890.2020.1752602

DO - 10.1080/00029890.2020.1752602

M3 - Journal article

AN - SCOPUS:85088656473

VL - 127

SP - 579

EP - 593

JO - American Mathematical Monthly

JF - American Mathematical Monthly

SN - 0002-9890

IS - 7

ER -

ID: 246865762