Using Aleksandrov reflection to estimate the location of the center of expansion

Yu-Chu Lin; Dong-Ho Tsai

doi:10.1090/S0002-9939-09-10155-7

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Using Aleksandrov reflection to estimate the location of the center of expansion

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Using Aleksandrov reflection to estimate the location of the center of expansion

Yu-Chu Lin and Dong-Ho Tsai

Proceedings of the American Mathematical Society, Vol.138(2), pp.557-565

02/2010

DOI: https://doi.org/10.1090/S0002-9939-09-10155-7

Abstract

We use the Aleksandrov reflection result of Chow and Gulliver to show that the center of expansion in expanding a given convex embedded closed curve γ0 C ℝ ² lies on a certain convex plane region interior to γ0. © 2009 American Mathematical Society.

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Title: Using Aleksandrov reflection to estimate the location of the center of expansion
Creators - without role: Yu-Chu Lin - National Tsing Hua University
Dong-Ho Tsai - National Tsing Hua University
Publication Details: Proceedings of the American Mathematical Society, Vol.138(2), pp.557-565
Identifiers: 9957770420906774
Academic Unit: Department of Mathematics, College of Science, National Tsing Hua University
Language: English
Resource Type: Journal article

Using Aleksandrov reflection to estimate the location of the center of expansion

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