The Serre duality theorem for a non-compact weighted CR manifold

DOI10.1090/S0002-9939-08-09498-7zbMath1219.32018MaRDI QIDQ3533871

Takanari Saotome, Mitsuhiro Itoh, Jun Masamune

Publication date: 24 October 2008

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

zbMATH Keywords

Hodge decompositionCR manifoldSerre dualityweighted Laplacianstrongly pseudo-convex manifoldWitten-Kohn Laplacian

Mathematics Subject Classification ID

Hodge theory in global analysis (58A14) Sub-Riemannian geometry (53C17) Analysis on CR manifolds (32V20)

Related Items (1)

Vanishing and conservativeness of harmonic forms of a non-compact CR manifold

Cites Work

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• Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds
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• Contact manifolds in Riemannian geometry
• A Saint-Venant type principle for Dirichlet forms on discontinuous media
• The Serre duality theorem for holomorphic vector bundles over a strongly pseudo-convex manifold
• Hypoelliptic second order differential equations
• Harmonic integrals on strongly pseudo-convex manifolds. II
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• Non‐coercive boundary value problems
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• Essential Self-Adjointness of a Sublaplacian via Heat Equation

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