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math.DG2014
The topology of closed manifolds with quasi-constant sectional curvature
Louis Funar
We prove that closed manifolds admitting a generic metric whose sectional curvature is locally quasi-constant are graphs of space forms. In the more general setting of QC spaces wh…
math.DG2002★ 1 cited
The ends of manifolds with bounded geometry, linear growth and finite filling area
Louis Funar, Renata Grimaldi
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…