On harmonic and asymptotically harmonic homogeneous spaces
โ Scribed by J. Heber
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 546 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1016-443X
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๐ SIMILAR VOLUMES
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
8 1. Introduction. Let T be a homogeneous isotropic tree of order q+ 1, q z 2 . That is, T is a connected graph, i t has no non-trivial loops, and a t each node (I + I edges project. Thus each node has exactly q + 1 nearest neighbors, between any two nodes there is a unique shortest path (a geodesi