Vanishing Theorems for Conformally Compact Manifolds

DOI10.1081/PDE-200033728zbMath1086.53060OpenAlexW2044663791MaRDI QIDQ3157915

Tom Yau-Heng Wan, Yuan Long Xin

Publication date: 20 January 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-200033728

zbMATH Keywords

conformally compact manifoldasymptotically hyperbolicharmonic \(p\)-form

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

Vanishing properties of $p$-harmonic $\ell$-forms on Riemannian manifolds ⋮ A non-existence theorem of proper harmonic morphisms from weakly asymptotically hyperbolic manifolds

Cites Work

• Einstein metrics with prescribed conformal infinity on the ball
• On the \(L^2\)-cohomology of a convex cocompact hyperbolic manifold
• Boundary regularity, uniqueness and non-uniqueness for AH Einstein metrics on 4-manifolds.
• Refined Kato inequalities and conformal weights in Riemannian geometry

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