Distance to Ck hypersurfaces |
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| Authors: | Steven G Krantz Harold R Parks |
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| Institution: | 1. Department of Mathematics, University of California, Los Angeles, California 90024 U.S.A.;2. Department of Mathematics, Oregon State University, Corvallis, Oregon 97331 U.S.A. |
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| Abstract: | It is shown by elementary means that a Ck hypersurface M of positive reach in n + 1 has the property that the signed distance function to it is Ck, k ? 1. This extends and complements work of Federer, Gilbarg and Trudinger, and Serrin. |
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