The Dirichlet problem for harmonic maps between Damek-Ricci spaces

DOI10.2748/tmj/1178225062zbMath0908.58011OpenAlexW1988683486MaRDI QIDQ1384464

Keisuke Ueno

Publication date: 8 July 1998

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

Full work available at URL: https://doi.org/10.2748/tmj/1178225062

zbMATH Keywords

Dirichlet problemharmonic mapsDamek-Ricci spaces

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Related Items (1)

Dirichlet problem at infinity for harmonic maps between Carnot spaces

Cites Work

• Unnamed Item
• Compact group actions and the topology of manifolds with non-positive curvature
• Harmonic analysis on solvable extensions of H-type groups
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Einstein metrics with nonpositive sectional curvature on extensions of Lie algebras of Heisenberg type
• Uniqueness and regularity of proper harmonic maps
• \(H\)-type groups and Iwasawa decompositions
• The heat equation and harmonic maps of complete manifolds
• The geometry of a semi-direct extension of a Heisenberg type nilpotent group
• Curvature of a semi-direct extension of a Heisenberg type nilpotent group
• A class of nonsymmetric harmonic Riemannian spaces
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• Harmonic Diffeomorphisms of the Hyperbolic Plane
• Dirichlet Problem at Infinity for Harmonic Maps: Rank One Symmetric Spaces
• On the curvature of certain extensions of $H$-type groups
• On Homotopic Harmonic Maps

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