On the existence of Hermitian-harmonic maps from complete Hermitian to complete Riemannian manifolds
| dc.creator | Grunau, Hans-Christoph | |
| dc.creator | Kuehnel, Marco | |
| dc.date | 2003-03-12 | |
| dc.date.accessioned | 2026-07-07T12:47:14Z | |
| dc.date.available | 2026-07-07T12:47:14Z | |
| dc.description | On non-Kähler manifolds the notion of harmonic maps is modified to that of Hermitian harmonic maps in order to be compatible with the complex structure. The resulting semilinear elliptic system is {\it not} in divergence form. The case of noncompact complete preimage and target manifolds is considered. We give conditions for existence and uniqueness of Hermitian-harmonic maps and solutions of the corresponding parabolic system, which observe the non-divergence form of the underlying equations. Numerous examples illustrate the theoretical results and the fundamental difference to harmonic maps. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0303137 | |
| dc.identifier | http://arxiv.org/abs/math/0303137 | |
| dc.identifier | Math. Z. 249 (2005), no. 2, 297--327. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221652 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 58C44;35J60 | |
| dc.title | On the existence of Hermitian-harmonic maps from complete Hermitian to complete Riemannian manifolds | |
| dc.type | text |