On the topology of moduli space of negative constant scalar curvature metrics on a Haken manifold

DOI10.3792/pjaa.75.126zbMath0978.53077OpenAlexW1989356083MaRDI QIDQ1969183

Minyo Katagiri

Publication date: 7 February 2002

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.75.126

zbMATH Keywords

Teichmüller spacescalar curvaturemoduli spaceEuler numbertopological structureHaken manifoldspace of Riemannian metricscontractible manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Teichmüller theory for Riemann surfaces (30F60) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (2)

Scalar curvature and \(Q\)-curvature of random metrics ⋮ Conformal invariants from nodal sets. II: Manifolds with boundary

Cites Work

• Unnamed Item
• A proof of the Smale conjecture, \(Diff(S^ 3)\simeq O(4)\)
• On a purely Riemannian proof of the structure and dimension of the unramified moduli space of a compact Riemann surface
• The space of negative scalar curvature metrics
• Homeomorphisms of sufficiently large \(P^2\)-irreducible 3-manifolds
• Deformations of the scalar curvature
• Homotopy theory of infinite dimensional manifolds
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds

This page was built for publication: On the topology of moduli space of negative constant scalar curvature metrics on a Haken manifold