On complete hypersurfaces of nonnegative sectional curvatures and constant $m$th mean curvature
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- by Philip Hartman PDF
- Trans. Amer. Math. Soc. 245 (1978), 363-374 Request permission
Abstract:
The main result is that if $M = {M^n}$ is a complete Riemann manifold of nonnegative sectional curvature and $X: M \to {R^{n + 1}}$ is an isometric immersion such that $X(M)$ has a positive constant mth mean curvature, then $X(M)$ is the product of a Euclidean space ${R^{n - d}}$ and a d-dimensional sphere, $m \leqslant d \leqslant n$.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 245 (1978), 363-374
- MSC: Primary 53C45
- DOI: https://doi.org/10.1090/S0002-9947-1978-0511415-8
- MathSciNet review: 511415