A topological splitting theorem for weighted Alexandrov spaces
Kuwae, Kazuhiro ; Shioya, Takashi
Tohoku Math. J. (2), Tome 63 (2011) no. 1, p. 59-76 / Harvested from Project Euclid
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Under an infinitesimal version of the Bishop-Gromov relative volume comparison condition for a measure on an Alexandrov space, we prove a topological splitting theorem of Cheeger-Gromoll type. As a corollary, we prove an isometric splitting theorem for Riemannian manifolds with singularities of nonnegative (Bakry-Emery) Ricci curvature.
Publié le : 2011-05-15
Classification:  Splitting theorem,  Ricci curvature,  Bishop-Gromov inequality,  53C20,  53C21,  53C23 
@article{1303219936,
     author = {Kuwae, Kazuhiro and Shioya, Takashi},
     title = {A topological splitting theorem for weighted Alexandrov spaces},
     journal = {Tohoku Math. J. (2)},
     volume = {63},
     number = {1},
     year = {2011},
     pages = { 59-76},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1303219936}
}

Kuwae, Kazuhiro; Shioya, Takashi. A topological splitting theorem for weighted Alexandrov spaces. Tohoku Math. J. (2), Tome 63 (2011) no. 1, pp.  59-76. http://gdmltest.u-ga.fr/item/1303219936/