A note on the asymptotic behaviour of the sum of principal radii of curvature on noncompact complete hypersurfaces
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- by V. I. Oliker PDF
- Proc. Amer. Math. Soc. 77 (1979), 381-384 Request permission
Abstract:
It is shown that under certain hypotheses the following conjecture is correct: on a noncompact complete hypersurface in Euclidean space the two conditions below cannot hold simultaneously: (i) the sum of principal radii of curvature is bounded; (ii) the support function is uniformly continuous.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 77 (1979), 381-384
- MSC: Primary 53C40
- DOI: https://doi.org/10.1090/S0002-9939-1979-0545600-2
- MathSciNet review: 545600