The length of the shadow boundary

Andreas Knauf

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Submission date: 15. Aug. 1997
Pages: 10
published in: Manuscripta mathematica, 95 (1998) 4, p. 519-527 
DOI number (of the published article): 10.1007/s002290050045
Bibtex
with the following different title: The size of the shadow boundary projection
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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.