The energy of equivariant maps and a fixed-point property for Busemann nonpositive curvature spaces

DOI10.1090/S0002-9947-2010-05238-9zbMath1218.58013OpenAlexW1973132337MaRDI QIDQ2997215

Mamoru Tanaka

Publication date: 6 May 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2010-05238-9

zbMATH Keywords

fixed pointuniformly convexuniformly smooth Banach spaceultralimitsglobal Busemann NPC spaces

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Variational aspects of group actions in infinite-dimensional spaces (58E40)

Related Items

Resolvent flows for convex functionals and \(p\)-harmonic maps

Cites Work

• Quasihyperbolic geometry
• Gradient flows on nonpositively curved metric spaces and harmonic maps
• Property \((T)\) and rigidity for actions on Banach spaces
• Fixed-point property of random groups.
• Combinatorial harmonic maps and discrete-group actions on Hadamard spaces
• Convexities of metric spaces
• Hyperbolic manifolds and discrete groups
• Metric spaces, convexity and nonpositive curvature
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