Liouville-type theorems for \(CC\)-\(F\)-harmonic maps into a Carnot group

DOI10.1007/s12220-020-00424-zzbMath1466.53042OpenAlexW3029646702MaRDI QIDQ2024701

Jing Li, Peibiao Zhao, Guoqing He

Publication date: 4 May 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00424-z

zbMATH Keywords

Carnot groupLiouville-type theoremsub-Riemannian manifold\(CC\)-\(F\)-harmonic map

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Sub-Riemannian geometry (53C17) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (1)

Vanishing theorems for \(f\)-\(CC\) stationary maps with potential \(H\) into Grushin spaces

Cites Work

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• On the existence of pseudoharmonic maps from pseudohermitian manifolds into Riemannian manifolds with nonpositive sectional curvature
• On vanishing theorems for vector bundle valued \(p\)-forms and their applications
• Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume I. Lecture notes from the IHP Trimester, Institut Henri Poincaré, Paris, France and from the CIRM summer school ``Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion, Luminy, France, Fall 2014
• Function theory on manifolds which possess a pole
• On Carnot-Caratheodory metrics
• Sub-Riemannian geometry
• Liouville theorems for harmonic maps
• Subelliptic harmonic maps from Carnot groups
• Geometry of \(F\)-harmonic maps
• Heat flows of subelliptic harmonic maps into Riemannian manifolds with nonpositive curvatures
• Uniqueness of subelliptic harmonic maps
• Liouville-type theorems for CC-harmonic maps from Riemannian manifolds to pseudo-Hermitian manifolds
• Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
• Heat flow for horizontal harmonic maps into a class of Carnot-Carathéodory spaces
• Liouville theorems for \(F\)-harmonic maps and their applications
• Subelliptic harmonic maps
• Pseudoharmonic maps from nondegenerate CR manifolds to Riemannian manifolds

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