affine diameter
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scholarly journals On the affine diameter of closed convex hypersurfaces

2003 ◽  
Vol 68 (3) ◽  
pp. 431-437
Author(s):  
Weimin Sheng ◽  
Neil S. Trudinger
Keyword(s):  
Euclidean Space ◽  
Finite Volume ◽  
Convex Hypersurface ◽  
Uniformly Convex ◽  
Affine Diameter ◽  
Convex Hypersurfaces

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.

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