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- W1973132337 abstract "For an isometric action of a finitely generated group on the ultralimit of a sequence of global Busemann nonpositive curvature spaces, we state a sufficient condition for the existence of a fixed point of the action in terms of the energy of equivariant maps from the group into the space. Furthermore, we show that this energy condition holds for every isometric action of a finitely generated group on any global Busemann nonpositive curvature space in a family which is stable under ultralimit, whenever each of these actions has a fixed point. We also discuss the existence of a fixed point of affine isometric actions of a finitely generated group on a uniformly convex, uniformly smooth Banach space in terms of the energy of equivariant maps." @default.
- W1973132337 created "2016-06-24" @default.
- W1973132337 creator A5001770112 @default.
- W1973132337 date "2011-04-01" @default.
- W1973132337 modified "2023-10-18" @default.
- W1973132337 title "The energy of equivariant maps and a fixed-point property for Busemann nonpositive curvature spaces" @default.
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- W1973132337 doi "https://doi.org/10.1090/s0002-9947-2010-05238-9" @default.
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