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https://doi.org/10.1016/j.jmaa.2010.04.056
| Title: | Total mean curvature of positively curved hypersurfaces | Authors: | Chan, Y.-Y. Cheung, L.-F. Leung, P.-F. |
Keywords: | Convex geometry Hypersurfaces with positive sectional curvatures Mean curvature Mean curvature of implicit hypersurface Mean curvature of non-parametric hypersurface Total mean curvature |
Issue Date: | Nov-2010 | Citation: | Chan, Y.-Y., Cheung, L.-F., Leung, P.-F. (2010-11). Total mean curvature of positively curved hypersurfaces. Journal of Mathematical Analysis and Applications 371 (2) : 397-402. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jmaa.2010.04.056 | Abstract: | In this article, we prove that every positively curved, complete non-compact hypersurface in Rn has infinite total mean curvature. © 2010. | Source Title: | Journal of Mathematical Analysis and Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/104392 | ISSN: | 0022247X | DOI: | 10.1016/j.jmaa.2010.04.056 |
| Appears in Collections: | Staff Publications |
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