Title: Invariant harmonic unit vector fields on Lie groups
Authors: Gonzalez-Davila, JC ×
Vanhecke, Lieven #
Issue Date: 2002
Publisher: Unione mat ital
Series Title: Bollettino della unione matematica italiana vol:5B issue:2 pages:377-403
Abstract: We provide a new characterization of invariant harmonic unit vector fields on Lie groups endowed with a left-invariant metric. We use it to derive existence results and to construct new examples on Lie groups equipped with a bi-invariant metric on three-dimensional Lie groups, on generalized Heisenberg groups, on Damek-Ricci spaces and on particular semi-direct products. In several cases a complete list of such vector fields is given. Furthermore, for a lot of the examples we determine associated harmonic maps from the considered group into its unit tangent bundle equipped with the associated Sasaki metric.
ISSN: 0041-7084
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Mathematics - miscellaneous
× corresponding author
# (joint) last author

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