Abstract
In this paper we establish a generalization of Toponogov's theorem for manifolds with asymptotically nonnegative sectional curvature, and we give a pinching condition under which asymptotically nonnegative curved manifolds are diffeomorphic to $\mathbb{R}^{n}$.
Citation
Mahaman Bazanfaré. "Open manifolds with asymptotically nonnegative curvature." Illinois J. Math. 49 (3) 705 - 717, Fall 2005. https://doi.org/10.1215/ijm/1258138215
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