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