Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature
| Autor: | Mingliang Cai, Gregory J. Galloway |
|---|---|
| Rok vydání: | 2000 |
| Předmět: |
Statistics and Probability
Pure mathematics Class (set theory) Conjecture 010308 nuclear & particles physics Prescribed scalar curvature problem 010102 general mathematics Rigidity (psychology) Torus Geometry Curvature Mathematics::Geometric Topology 01 natural sciences 0103 physical sciences Isotopy Mathematics::Differential Geometry Geometry and Topology 0101 mathematics Statistics Probability and Uncertainty Mathematics::Symplectic Geometry Analysis Mathematics Scalar curvature |
| Zdroj: | Communications in Analysis and Geometry. 8:565-573 |
| ISSN: | 1944-9992 1019-8385 |
| Popis: | The following version of a conjecture of Fischer-Colbrie and Schoen is proved: If M is a complete Riemannian 3-manifold with nonnegative scalar curvature which contains a two-sided torus S which is of least area in its isotopy class then M is flat. This follows from a local version derived in the paper. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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