On the topology of the space of pinched negatively curved metrics with finite volume and identical ends

DOI10.1112/blms/bdw021zbMath1344.58007arXiv1508.03553OpenAlexW1936436627MaRDI QIDQ2812005

Mauricio Bustamante

Publication date: 10 June 2016

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03553

zbMATH Keywords

noncompact manifoldspace of Riemannian metricshomotopy groupsinfinite-dimensional spacesnegatively curved manifoldsends of noncompact space

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Manifolds of metrics (especially Riemannian) (58D17)

Related Items

On the topology of the space of pinched negatively curved metrics with finite volume and identical ends ⋮ On the topology of moduli spaces of non-negatively curved Riemannian metrics

Cites Work

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• On the topology of the space of negatively curved metrics
• Finite volume and fundamental group on manifolds of negative curvature
• Manifolds of nonpositive curvature
• Structure of manifolds of nonpositive curvature. II
• Manifolds of negative curvature
• Lattices in spaces of nonpositive curvature
• The space of nonpositively curved metrics of a negatively curved manifold
• Visibility manifolds
• On the topology of the space of pinched negatively curved metrics with finite volume and identical ends
• Operations on the A-theoretic nil-terms