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.
LOUIS FUNAR, GRIMALDI R (2004). The ends of manifolds with bounded geometry and linear growth. GEOMETRIAE DEDICATA, 104(1), 139-148 [10.1023/B:GEOM.0000022862.31239.bd].
The ends of manifolds with bounded geometry and linear growth
GRIMALDI, Renata Carmela
2004-01-01
Abstract
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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