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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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