Vanishing theorems for L2 -cohomology groups

DOI10.1515/crll.2000.071zbMath1014.58013OpenAlexW2579817770MaRDI QIDQ4505656

Juergen Jost

Publication date: 2 January 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2000.071

zbMATH Keywords

Euler characteristicLie groupsymmetric space\(L^2\)-Betti numbers\(L^2\)-cohomology groups

Mathematics Subject Classification ID

Exotic index theories on manifolds (58J22) Global Riemannian geometry, including pinching (53C20) Vanishing theorems (32L20)

Related Items (5)

On Euler number of symplectic hyperbolic manifold ⋮ Curvature estimates for irreducible symmetric spaces ⋮ The first \(L^2\)-Betti number of certain homogeneous spaces, including classifying spaces for variations of Hodge structures ⋮ Vanishing theorem for irreducible symmetric spaces of noncompact type ⋮ Homomorphisms between symplectic groups

Cites Work

• Geometry of harmonic maps
• $L^2 $ harmonic forms and a conjecture of Dodziuk-Singer
• L 2 Harmonic Forms on Rotationally Symmetric Riemannian Manifolds
• Positive Sectional Curvatures Does not Imply Positive Gauss-Bonnet Integrand
• Some Implications of the Generalized Gauss-Bonnet Theorem

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