Pseudo Harmonic Morphisms
dg-ga
2008-02-03 v1 微分几何
摘要
We study a geometrical condition (PHWC) which is weaker than horizontal weak conformality. In particular, we show that harmonic maps satisfying this condition, which will be called {\em pseudoharmonic morphisms}, include harmonic morphisms and can be described as pulling back certain germs to certain other germs. Finally, we construct a canonical f-structure associated to every map satisfying (PHWC) and find conditions on this f-structure to ensure the harmonicity of the map.
引用
@article{arxiv.dg-ga/9608003,
title = {Pseudo Harmonic Morphisms},
author = {Eric Loubeau},
journal= {arXiv preprint arXiv:dg-ga/9608003},
year = {2008}
}
备注
AMS-LaTex v1.2b, 13 pages