Harmonic morphisms between degenerate semi-Riemannian manifolds

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In this paper we generalize harmonic maps and morphisms to the \emph{degenerate semi-Riemannian category}, in the case when the manifolds $M$ and $N$ are \emph{stationary} and the map $ϕ:M\to N$ is \emph{radical-preserving}. We characterize geometrically the notion of \emph{(generalized) horizontal (weak) conformality} and we obtain a characterization for (generalized) harmonic morphisms in terms of (generalized) harmonic maps.
21 pages, LaTeX

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Differential Geometry, 53B30

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http://salesiana.dossiersoluciones.com/handle/123456789/66862

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303275
 http://arxiv.org/abs/math/0303275

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arXiv