The Dirichlet problem for harmonic maps between Damek-Ricci spaces

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概要

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• A Damek-Ricci space has nonpositive curvature. Thus we can consider the Eberlein-ONeill compactifications adding the sphere at infinity. In this paper, we prove the existence and uniqueness of a solution to the Dirichlet problem at infinity for harmonic maps between Damek-Ricci spaces.

• 東北大学の論文

著者

• UENO Keisuke

  Department of Mathematical Sciences Faculty of Science Yamagata University

• Ueno Keisuke

  Department of Mathematical Sciences, Faculty of Science, Yamagata University

関連論文

• Initial-final value problems for ordinary differential equations and applications to equivariant harmonic maps
• Nonexistence theorems for proper harmonic maps and harmonic morphisms between space forms of negative curvature
• The Dirichlet problem for harmonic maps between Damek-Ricci spaces
• Constructions of harmonic maps between Hadamard manifolds

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