Preprint series: 03-09, Preprints

The paper is published: Math. Z. 249 , 297-327 (2005).

MSC:

53C42 Immersions (minimal, prescribed curvature, tight, etc.), See also {49Q05, 49Q10, 53A10, 57R40, 57R42}

35J60 Nonlinear PDE of elliptic type

35K55 Nonlinear PDE of parabolic type

Abstract: 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 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.

Keywords: Hermitian-harmonic maps, non-Kaehler manifolds, non-divergence form

Notes: Die aktuelle Klassifikation (MSC 2000) ist 53C44.
Leider ist noch die alte Klassifikation (MSC1991) abgespeichert.

Upload: 2003-04-16-04-16

Update: 2006 -01 -24