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Harmonic maps into loop spaces of compact Lie groups

โœ Scribed by A. G. Sergeev


Publisher
Springer US
Year
2008
Tongue
English
Weight
162 KB
Volume
149
Category
Article
ISSN
1573-8795

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Harmonic maps into Lie groups and homoge
โœ Yu-Jie Dai; Michihiko Shoji; Hajime Urakawa ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 693 KB

The tension field of a smooth map of an arbitrary Riemannian manifold into any homogeneous space (G/K, h) with an invariant Riemannian metric h is calculated. As its applications, a characterization of harmonic maps into any homogeneous space is given and all harmonic maps of the standard Euclidean