Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 45, No. 1, pp. 87-102 (2004)
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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 morphismsEric Loubeau and Xiaohuan MoUniversit{é} de Bretagne Occidentale, UFR Sciences et Techniques, Departement de Mathematiques, 6, avenue Victor Le Gorgeu, BP 809, 29285 Brest Cedex, France, e-mail: loubeau@univ-brest.fr; School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China, e-mail: moxh@pku.edu.cnAbstract: 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 Full text of the article:
Electronic version published on: 5 Mar 2004. This page was last modified: 4 May 2006.
© 2004 Heldermann Verlag
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