The asymptotic cones of manifolds of roughly non-negative radial curvature
MASHIKO, Yukihiro ; NAGANO, Koichi ; OTSUKA, Kazuo
J. Math. Soc. Japan, Tome 57 (2005) no. 4, p. 55-68 / Harvested from Project Euclid
We prove that the asymptotic cone of every complete, connected, non-compact Riemannian manifold of roughly non-negative radial curvature exists, and it is isometric to the Euclidean cone over their Tits ideal boundaries.
Publié le : 2005-01-14
Classification:  comparison geometry,  asymptotic cones,  Tits ideal boundary,  Alexandrov spaces,  53C20
@article{1160745813,
     author = {MASHIKO, Yukihiro and NAGANO, Koichi and OTSUKA, Kazuo},
     title = {The asymptotic cones of manifolds of roughly non-negative radial curvature},
     journal = {J. Math. Soc. Japan},
     volume = {57},
     number = {4},
     year = {2005},
     pages = { 55-68},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1160745813}
}
MASHIKO, Yukihiro; NAGANO, Koichi; OTSUKA, Kazuo. The asymptotic cones of manifolds of roughly non-negative radial curvature. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp.  55-68. http://gdmltest.u-ga.fr/item/1160745813/