0000000000202325

AUTHOR

Louis Funar

showing 3 related works from this author

The ends of manifolds with bounded geometry, linear growth and finite filling area

2002

We prove that simply connected open Riemannian manifolds of bounded geometry, linear growth and sublinear filling growth (e.g. finite filling area) are simply connected at infinity.

Mathematics - Differential GeometrySublinear functionHyperbolic geometryGeometryGeometric Topology (math.GT)Algebraic geometryCondensed Matter::Mesoscopic Systems and Quantum Hall EffectMathematics - Geometric Topology53 C 23 57 N 15Differential geometryDifferential Geometry (math.DG)Bounded functionSimply connected spaceFOS: MathematicsCondensed Matter::Strongly Correlated ElectronsGeometry and TopologyMathematics::Differential GeometrySimply connected at infinityMathematicsProjective geometry
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The ends of manifolds with bounded geometry and linear growth

2004

We prove that simply connected open manifolds of bounded geometry, linear growth and sublinear filling growth (e.g. finite filling area) are simply connected at infinity.

bounded geometry filling area growth linear growth simple connectivity at infinity
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La topologie à l'infini des variétés à géométrie bornée et croissance linéaire

1997

Abstract We study the topology at infinity of a non compact riemannian manifold with bounded geometry and linear growth-type.

Pure mathematicsMathematics(all)General Mathematicsmedia_common.quotation_subjectBounded functionApplied MathematicsMathematical analysisMathematics::Differential GeometryRiemannian manifoldInfinityTopology (chemistry)media_commonMathematicsJournal de Mathématiques Pures et Appliquées
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