Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 45, No. 1, pp. 87-102 (2004)

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The geometry of pseudo harmonic morphisms

Eric Loubeau and Xiaohuan Mo

Universit{é} de Bretagne Occidentale, UFR Sciences et Techniques, Departement de Mathematiques, 6, avenue Victor Le Gorgeu, BP 809, 29285 Brest Cedex, France, e-mail:; School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China, e-mail:

Abstract: We study a class of maps, called Pseudo Horizontally Weakly Conformal (PHWC), which includes horizontally weakly conformal mappings. We give geometrical conditions ensuring the harmonicity of a (PHWC) map, making it a pseudo harmonic morphism, a generalisation of harmonic morphism, for which we broaden the Baird-Eells Theorem.

Finally, considering pseudo horizontally homothetic maps, we extend a theorem of Aprodu, Aprodu and Brinzanescu to pseudo harmonic morphisms, and show that the dual stress-energy of such maps is horizontally covariant constant.

Classification (MSC2000): 58E20, 53C15

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Electronic version published on: 5 Mar 2004. This page was last modified: 4 May 2006.

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