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Total mean curvature of positively curved hypersurfaces |
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| Authors: | Ying-Ying Chan Pui-Fai Leung |
| Institution: | a The Chinese University of Hong Kong, Department of Mathematics, Lady Shaw Bldg., Shatin, NT, Hong Kong b Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road, Singapore 119076, Singapore |
| Abstract: | In this article, we prove that every positively curved, complete non-compact hypersurface in Rn has infinite total mean curvature. |
| Keywords: | Mean curvature Total mean curvature Hypersurfaces with positive sectional curvatures Mean curvature of non-parametric hypersurface Mean curvature of implicit hypersurface Convex geometry |
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