Addendum to the paper: Sphere theorem by means of the ratio of mean curvature functions
Published online by Cambridge University Press: 25 July 2002
Abstract
It is shown that an immersion of n dimensional compact oriented manifold without boundary into the n+1 dimensional Euclidean space, hyperbolic space or open half sphere is a totally umbilic immersion if one of the mean curvature function H_l does not vanish and the ratio H_k/H_l is constant, 1\leq k, l \leq n, k\ne l.
- Type
- Research Article
- Information
- Copyright
- 2001 Glasgow Mathematical Journal Trust
Footnotes
- 6
- Cited by