E. Loubeau & X. Mo


Titre: "Pseudo horizontally weakly conformal maps from Riemannian manifolds into K\"ahler manifolds."


Résumé: 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 morphisms, 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 their dual stress-energy tensor to be horizontally covariant constant.

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