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DEFORMING A STARSHAPED CURVE INTO A CIRCLE BY AN AREA-PRESERVING FLOW

Part of: Global differential geometry Classical differential geometry Parabolic equations and systems

Published online by Cambridge University Press:  23 April 2020

JIANBO FANG Open the ORCID record for JIANBO FANG [Opens in a new window]
JIANBO FANG*
Affiliation:
School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, PR China email [email protected]
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Abstract

We show that a class of area-preserving flows can deform every starshaped curve into a circle.

Keywords

area-preserving flowstarshaped curvedivergent quasi-linear parabolic equation

MSC classification

Primary: 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Secondary: 35K05: Heat equation 53A04: Curves in Euclidean space
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 102 , Issue 3 , December 2020 , pp. 498 - 505
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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Footnotes

The work is supported by the National Natural Science Foundation of China (Nos. 11861004 and 11561012) and the Introducing Talents Project in Guizhou University of Finance and Economics (2018YJ102).

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