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math.DG2010★ 1 cited
Sufficient conditions for open manifolds to be diffeomorphic to Euclidean spaces
Kei Kondo, Minoru Tanaka
Let M be a complete non-compact connected Riemannian n-dimensional manifold. We first prove that, for any fixed point p in M, the radial Ricci curvature of M at p is bounded from b…
math.DG2010★ 3 cited
Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. III
Kei Kondo, Minoru Tanaka
Dedicated to Professor K. Shiohama on the occasion of his seventieth birthday: This article is the third in a series of our investigation on a complete non-compact connected Rieman…