{
  "id": "math/0303137",
  "version": "v1",
  "published": "2003-03-12T17:11:18.000Z",
  "updated": "2003-03-12T17:11:18.000Z",
  "title": "On the existence of Hermitian-harmonic maps from complete Hermitian to complete Riemannian manifolds",
  "authors": [
    "Hans-Christoph Grunau",
    "Marco Kuehnel"
  ],
  "comment": "26 pages",
  "journal": "Math. Z. 249 (2005), no. 2, 297--327.",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "On non-K\\\"ahler 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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-03-12T17:11:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58C44",
      "35J60"
    ],
    "keywords": [
      "complete riemannian manifolds",
      "hermitian-harmonic maps",
      "complete hermitian",
      "hermitian harmonic maps",
      "resulting semilinear elliptic system"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3137G"
    }
  }
}