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

Authors :
Yu Chu Lin
Dong-Ho Tsai
Source :
Proceedings of the American Mathematical Society. 138:557-565
Publication Year :
2009
Publisher :
American Mathematical Society (AMS), 2009.

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 γ 0 C ℝ 2 lies on a certain convex plane region interior to γ 0 .

Details

ISSN :
00029939
Volume :
138
Database :
OpenAIRE
Journal :
Proceedings of the American Mathematical Society
Accession number :
edsair.doi...........2c2e1cd65674bc01f80bc3b3ab3879e5
Full Text :
https://doi.org/10.1090/s0002-9939-09-10155-7