Open manifolds with asymptotically nonnegative curvature
Bazanfaré, Mahaman
Illinois J. Math., Tome 49 (2005) no. 2, p. 705-717 / Harvested from Project Euclid
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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 $\mathbb{R}^{n}$.
Publié le : 2005-07-15
Classification:  53C20,  31C12,  53C21 
@article{1258138215,
     author = {Bazanfar\'e, Mahaman},
     title = {Open manifolds with asymptotically nonnegative curvature},
     journal = {Illinois J. Math.},
     volume = {49},
     number = {2},
     year = {2005},
     pages = { 705-717},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138215}
}

Bazanfaré, Mahaman. Open manifolds with asymptotically nonnegative curvature. Illinois J. Math., Tome 49 (2005) no. 2, pp.  705-717. http://gdmltest.u-ga.fr/item/1258138215/