Fourth order approximation of harmonic maps from surfaces
β Scribed by Tobias Lamm
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 492 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0944-2669
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π SIMILAR VOLUMES
In this article we prove that any Palais-Smale sequence of the energy functional on surfaces with uniformly L 2 -bounded tension fields converges pointwise, by taking a subsequence if necessary, to a map from connected (possibly singular) surfaces, which consist of the original surfaces and finitely
The class of harmonic superconformal maps from Riemann surfaces into real hyperbolic spaces is considered and harmonic sequences are constructed for these maps. They are used to obtain a rigidity result for such maps and to construct primitive lifts into an auxiliary flag space F m . It is also show