Pseudo Harmonic Morphisms

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
AMS-LaTex v1.2b, 13 pages

Keywords

Differential Geometry, 58E20 (Primary) 53C15 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/152156

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9608003
 http://arxiv.org/abs/dg-ga/9608003

Collections

arXiv