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On the affine diameter of closed convex hypersurfaces

Published online by Cambridge University Press:  17 April 2009

Weimin Sheng  and
Neil S. Trudinger
Weimin Sheng
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310028, Peoples Republic of China, e-mail: weimins@css.zju.edu.cn
Neil S. Trudinger
Affiliation:
Centre for Mathematics and Its Applications, The Australian National University, Canberra, ACT 0200, Australia, e-mail: Neil.Trudinger@maths.anu.edu.au
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Abstract

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In this paper we prove that the affine diameter of any closed uniformly convex hypersurface in Euclidean space enclosing finite volume is bounded from above.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 3 , December 2003 , pp. 431 - 437
Copyright
Copyright © Australian Mathematical Society 2003

References

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