6533b824fe1ef96bd12801b1
RESEARCH PRODUCT
Non-immersion theorem for a class of hyperbolic manifolds
Yury A. Nikolayevskysubject
Pure mathematicsHyperbolic groupHyperbolic spaceMathematical analysisHyperbolic 3-manifoldHyperbolic manifoldUltraparallel theoremMathematics::Geometric TopologyRelatively hyperbolic groupStable manifoldComputational Theory and MathematicsMathematics::Metric GeometryMathematics::Differential GeometryGeometry and TopologyAnalysisHyperbolic equilibrium pointMathematicsdescription
Abstract It is proved that a non-simply-connected complete hyperbolic manifold cannot be isometrically immersed in a Euclidean space with a flat normal connection. In particular, the complete hyperbolic manifold M n with π 1 ( M ) ≠ 0 cannot be isometrically immersed in R 2 n − 1 .
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-12-01 | Differential Geometry and its Applications |