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math.DG2005
Variational convergence over metric spaces
Kazuhiro Kuwae, Takashi Shioya
We introduce a natural definition of -convergence of maps, , in the case where the domain is a convergent sequence of measured metric space with respect to the measur…
math.DG2004★ 1 cited
Fixed point sets of parabolic isometries of CAT(0)-spaces
Koji Fujiwara, Koichi Nagano, Takashi Shioya
We study the fixed point set in the ideal boundary of a parabolic isometry of a proper CAT(0)-space. We show that the radius of the fixed point set is at most pi/2, and study its c…
math.DG2003★ 2 cited
Volume collapsed three-manifolds with a lower curvature bound
Takashi Shioya, Takao Yamaguchi
In this paper we determine the topology of three-dimensional complete orientable Riemannian manifolds with a uniform lower bound of sectional curvature whose volume is sufficiently…