Characterization of totally umbilical hypersurfaces
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- by Thomas Hasanis PDF
- Proc. Amer. Math. Soc. 81 (1981), 447-450 Request permission
Abstract:
This paper gives a sufficient condition for a complete hypersurface of a Riemannian manifold of constant curvature to be umbilical. The condition will be given by an inequality which is established between the length of the second fundamental tensor and the mean curvature.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 447-450
- MSC: Primary 53C40; Secondary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-1981-0597660-X
- MathSciNet review: 597660