The Ends of Manifolds with Bounded Geometry, Linear Growth and Finite Filling Area

Geometriae Dedicata - Tập 104 - Trang 139-148 - 2004
Louis Funar1, Renata Grimaldi2
1Institut Fourier BP 74, UMR 5582 CNRS, Université de Grenoble I, Saint-Martin-d'Hères cedex, France
2Dipartimento di Mathematica ed Applicazioni, Facolta di Ingegneria, Università di Palermo, Palermo, Italy

Tóm tắt

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.

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