A non-existence theorem of proper harmonic morphisms from weakly asymptotically hyperbolic manifolds

DOI10.2748/tmj/1163775135zbMath1119.53047OpenAlexW2051307311MaRDI QIDQ875704

Yuguang Shi, Xiaohuan Mo

Publication date: 13 April 2007

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1163775135

zbMATH Keywords

conformally compact manifoldsharmonic maps.Harmonic morphismsweakly asymptotically hyperbolic manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Cites Work

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• Uniqueness and regularity of proper harmonic maps
• The heat equation and harmonic maps of complete manifolds
• A nonexistence theorem of proper harmonic morphisms between hyperbolic spaces
• Vanishing Theorems for Conformally Compact Manifolds
• Connectedness of the boundary in the AdS/CFT correspondence

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