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MiS Preprint
22/1997

The length of the shadow boundary

Andreas Knauf

Abstract

Among all embedded manifolds with positive exterior curvature smaller than k the ratio between the length of the shadow boundary and the surface is maximized by the sphere of radius 1/k.

Received:
Aug 15, 1997
Published:
Aug 15, 1997

Related publications

inJournal
1998 Repository Open Access
Andreas Knauf

The size of the shadow boundary projection

In: Manuscripta mathematica, 95 (1998) 4, pp. 519-527