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| f-Harmonic Morphisms Between Riemannian Manifolds? |
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Citation： |
Yelin OU.f-Harmonic Morphisms Between Riemannian Manifolds?[J].Chinese Annals of Mathematics B,2014,35(2):225~236 |
| Page view： 1974
Net amount： 1351 |
Authors： |
Yelin OU; |
Foundation： |
Guangxi Natural Science Foundation (No. 2011GXNSFA018127). |
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| Abstract： |
f-Harmonic maps were first introduced and studied by Lichnerowicz in 1970. In
this paper, the author studies a subclass of f-harmonic maps called f-harmonic morphisms
which pull back local harmonic functions to local f-harmonic functions. The author proves
that a map between Riemannian manifolds is an f-harmonic morphism if and only if
it is a horizontally weakly conformal f-harmonic map. This generalizes the well-known
characterization for harmonic morphisms. Some properties and many examples as well
as some non-existence of f-harmonic morphisms are given. The author also studies the
f-harmonicity of conformal immersions. |
Keywords： |
f-Harmonic maps, f-Harmonic morphisms, F-Harmonic maps, Harmonicmorphisms, p-Harmonic morphisms |
Classification： |
58E20, 53C12 |
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