Abstract
Let V3 be a connected three-dimensional open complete Riemannian manifold with nonnegative sectional curvature. It is proved that if at some point all the sectional curvatures are positive, then V3 is diffeomorphic to a Euclidean space R3.
Original language | English (US) |
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Pages (from-to) | 65-72 |
Number of pages | 8 |
Journal | Journal of Soviet Mathematics |
Volume | 12 |
Issue number | 1 |
DOIs | |
State | Published - Jul 1979 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- General Mathematics
- Applied Mathematics