Regularity of curves with a continous tangent line

J. M. Burgués; J. Cufí

doi:10.1017/S1446788708000402

Regularity of curves with a continous tangent line

J. M. Burgués, J. Cufí

Departament de Matemàtiques

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Resum

This note contains a proof of the fact that a Jordan curve in ℝ2 with a continuous tangent line at each point admits a regular reparameterization. We extend the result both to more general curves in ℝn and to higher orders of differentiability. © 2009 Australian Mathematical Society.

Idioma original	English
Pàgines (de-a)	17-26
Revista	Journal of the Australian Mathematical Society
Volum	86
Número	1
DOIs	https://doi.org/10.1017/S1446788708000402
Estat de la publicació	Publicada - 1 de febr. 2009

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10.1017/S1446788708000402

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title = "Regularity of curves with a continous tangent line",

abstract = "This note contains a proof of the fact that a Jordan curve in ℝ2 with a continuous tangent line at each point admits a regular reparameterization. We extend the result both to more general curves in ℝn and to higher orders of differentiability. {\textcopyright} 2009 Australian Mathematical Society.",

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author = "Burgu{\'e}s, {J. M.} and J. Cuf{\'i}",

year = "2009",

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AU - Cufí, J.

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N2 - This note contains a proof of the fact that a Jordan curve in ℝ2 with a continuous tangent line at each point admits a regular reparameterization. We extend the result both to more general curves in ℝn and to higher orders of differentiability. © 2009 Australian Mathematical Society.

AB - This note contains a proof of the fact that a Jordan curve in ℝ2 with a continuous tangent line at each point admits a regular reparameterization. We extend the result both to more general curves in ℝn and to higher orders of differentiability. © 2009 Australian Mathematical Society.

KW - Jordan curve

KW - Order of differentiability

KW - Regular curve

KW - Tangent line

U2 - 10.1017/S1446788708000402

DO - 10.1017/S1446788708000402

M3 - Article

SN - 1446-7887

VL - 86

SP - 17

EP - 26

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 1

ER -

Regularity of curves with a continous tangent line

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