22 citations · 58 across the 16 of their papers we have counts for
Showing 2009Show all
3 papers · 1 filter
math.DG2009★ 3 cited
Toponogov comparison theorem for open triangles
Kei Kondo, Minoru Tanaka
Dedicated to Professor Gromoll: The aim of our article is to generalize the Toponogov comparison theorem to a complete Riemannian manifold with smooth convex boundary. A geodesic t…
math.DG2009
Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. II
Kei Kondo, Minoru Tanaka
We prove, as our main theorem, the finiteness of topological type of a complete open Riemannian manifold with a base point whose radial curvature at is bounded fr…
math.DG2009★ 18 cited
Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. I
Kei Kondo, Minoru Tanaka
We investigate the finiteness structure of a complete non-compact -dimensional Riemannian manifold whose radial curvature at a base point of is bounded from below by tha…