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The size of the shadow boundary projection |
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| Authors: | Andreas Knauf |
| Institution: | (1) Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstrasse 22-26, D-04103 Leipzig, Germany |
| Abstract: | Among all embedded closed manifoldsM d ⊂ ℝ d+1 with positive exterior curvature ≤k the ratio between the (d − 1)-Hausdorff measure of the shadow boundary projection and the volume ofM d is maximized by the sphere of radius 1/k. |
| Keywords: | 52A38 53A05 |
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