0000000000544144

AUTHOR

Yury A. Nikolayevsky

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Non-immersion theorem for a class of hyperbolic manifolds

1998

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 .

Pure mathematicsHyperbolic groupHyperbolic spaceMathematical analysisHyperbolic 3-manifoldHyperbolic manifoldUltraparallel theoremMathematics::Geometric TopologyRelatively hyperbolic groupStable manifoldComputational Theory and MathematicsMathematics::Metric GeometryMathematics::Differential GeometryGeometry and TopologyAnalysisHyperbolic equilibrium pointMathematicsDifferential Geometry and its Applications
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