The nonexistence of some noncompact constant mean curvature surfaces
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- by Leung-Fu Cheung PDF
- Proc. Amer. Math. Soc. 121 (1994), 1207-1209 Request permission
Abstract:
Using isoperimetric inequality, we prove that there are no complete noncompact surfaces in ${\mathbb {R}^3}$ with finite total curvature, odd Euler characteristic, and mean curvature bounded away from zero.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 1207-1209
- MSC: Primary 53A10; Secondary 53C42
- DOI: https://doi.org/10.1090/S0002-9939-1994-1186985-4
- MathSciNet review: 1186985