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- W107083542 abstract "A smooth map f: M → N between semi-riemannian manifolds is called a har- monic morphism if f pulls back harmonic functions (i.e., local solutions of the Laplace-Beltrami equation) on N into harmonic functions on M. It is shown that a harmonic morphism is the same as a harmonic map which is moreover horizontally weakly conformal, these two notions being like- wise carried over from the riemannian case. Additional characterizations of harmonic morphisms are given. The case where M and N have the same dimension n is studied in detail. When n = 2 and the metrics on M and N are indefinite, the harmonic morphisms are characterized essentially by preserving characteristics." @default.
- W107083542 created "2016-06-24" @default.
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- W107083542 date "1996-01-01" @default.
- W107083542 modified "2023-09-26" @default.
- W107083542 title "HARMONIC MORPHISMS BETWEEN SEMI-RIEMANNIAN MANIFOLDS" @default.
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