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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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