On 𝐿² cohomology of ACH Kähler manifolds

DOI10.1090/S0002-9939-07-08838-7zbMath1123.53037OpenAlexW1980783803MaRDI QIDQ5291942

Xiaodong Wang

Publication date: 19 June 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08838-7

zbMATH Keywords

Kähler manifoldEinstein manifold\(L^2\)-cohomologyconformally compact Einstein manifold\(L^2\)-harmonic \((1,1)\)-formasymptotically complex hyperbolic space

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (1)

Vanishing theorems for ach Kähler manifolds and harmonic maps

Cites Work

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• The Hodge cohomology of a conformally compact metric
• Topological entropy for geodesic flows
• Hausdorff dimensions of limit sets. I
• Resolvent of the Laplacian on strictly pseudoconvex domains
• On the \(L^2\)-cohomology of a convex cocompact hyperbolic manifold
• On conformally compact Einstein manifolds.
• The spectrum of an asymptotically hyperbolic Einstein manifold
• Métriques kählériennes et fibrés holomorphes
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• On the Second Cohomology Group of a Kaehler Manifold of Positive Curvature
• Connectedness of the boundary in the AdS/CFT correspondence

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