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

Department of Mathematics

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

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. © 2009 Australian Mathematical Society.

Original language	English
Pages (from-to)	17-26
Journal	Journal of the Australian Mathematical Society
Volume	86
Issue number	1
DOIs	https://doi.org/10.1017/S1446788708000402
Publication status	Published - 1 Feb 2009

Keywords

Jordan curve
Order of differentiability
Regular curve
Tangent line

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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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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

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M3 - Article

VL - 86

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Regularity of curves with a continous tangent line

Abstract

Keywords

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