On weighted 𝐿² cohomology

DOI10.1090/S0002-9939-07-08920-4zbMath1135.58001arXivmath/0606372OpenAlexW2907177014MaRDI QIDQ5423964

John G. Miller

Publication date: 1 November 2007

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

Full work available at URL: https://arxiv.org/abs/math/0606372

zbMATH Keywords

Riemannian manifoldde Rham cohomologyweighted \(L^2\) space\(L^2\) cohomology for weighted spaces

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Discrete subgroups of Lie groups (22E40) Exotic index theories on manifolds (58J22) Global Riemannian geometry, including pinching (53C20)

Related Items

Analysis of weighted p-harmonic forms and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the \(L^2\)-cohomology of negatively curved manifolds
• The Euler characteristic and finiteness obstruction of manifolds with periodic ends
• Hilbert complexes
• De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings
• L//2 cohomology of warped products and arithmetic groups
• Gaussian weighted unreduced \(L_2\) cohomology of locally symmetric spaces
• Essential self-adjointness of powers of generators of hyperbolic equations
• Differentiable manifolds
• Quelques propriétés globales des variétés différentiables
• Stable and 𝐿²-cohomology of arithmetic groups
• The heat kernel weighted Hodge Laplacian on noncompact manifolds