0000000000202325
AUTHOR
Louis Funar
The ends of manifolds with bounded geometry, linear growth and finite filling area
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.
The ends of manifolds with bounded geometry and linear growth
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.
La topologie à l'infini des variétés à géométrie bornée et croissance linéaire
Abstract We study the topology at infinity of a non compact riemannian manifold with bounded geometry and linear growth-type.