On the Asymmetry for Convex Domains of Constant Width |
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| Authors: | Jin Hai-lin Guo Qi |
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| Affiliation: | Jin Hai-lin and Guo Qi(Department of Mathematics,Suzhou University of Technology and Science,Suzhou,Jiangsu,215009) Yin Jing-xue |
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| Abstract: | The extremal convex bodies of constant width for the Minkowski measure of asymmetry are discussed. A result, similar to that of H. Groemer's and of H. Lu's, is obtained, which states that, for the Minkowski measure of asymmetry, the most asymmetric convex domains of constant width in R2 are Reuleaux triangles. |
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| Keywords: | asymmetry measure reuleaux polygon constant width |
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