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Type: Artigo de periódico
Title: Properly Discontinuous Actions On Hilbert Manifolds
Author: Biliotti L.
Mercuri F.
Abstract: In this article we study properly discontinuous actions on Hilbert manifolds giving new examples of complete Hilbert manifolds with nonnegative, respectively nonpositive, sectional curvature with infinite fundamental group. We also get examples of complete infinite dimensional Kähler manifolds with positive holomorphic sectional curvature and infinite fundamental group in contrastwith the finite dimensional case and we classify abelian groups acting linearly, isometrically and properly discontinuously on Stiefel manifolds. Finally, we classify homogeneous Hilbert manifolds with constant sectional curvature.
Editor: Springer New York LLC
Rights: fechado
Identifier DOI: 10.1007/s00574-014-0057-7
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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