Vanishing theorems for ach Kähler manifolds and harmonic maps

DOI10.1007/s10496-008-0292-0zbMath1199.53116OpenAlexW2161414697WikidataQ126000204 ScholiaQ126000204MaRDI QIDQ3642075

Ranran Chen, Xiaoli Chao

Publication date: 11 November 2009

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-008-0292-0

zbMATH Keywords

harmonic mapbisectional curvatureweighted Poincaré inequalityACH Kähler manifold

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometric aspects of harmonic maps (53C43)

Cites Work

• The Hodge cohomology of a conformally compact metric
• Compact group actions and the topology of manifolds with non-positive curvature
• Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
• On conformally compact Einstein manifolds.
• Harmonic maps and the topology of conformally compact Einstein manifolds
• Complete manifolds with positive spectrum
• A vanishing theorem on manifolds of positive spectrum
• The spectrum of an asymptotically hyperbolic Einstein manifold
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• On 𝐿² cohomology of ACH Kähler manifolds
• On the Second Cohomology Group of a Kaehler Manifold of Positive Curvature
• Connectedness of the boundary in the AdS/CFT correspondence
• Boundaries of zero scalar curvature in the AdS/CFT correspondence

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