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Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms - MaRDI portal

Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms (Q2436529)

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Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms
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    Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms (English)
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    25 February 2014
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    The author studies the existence problem for harmonic morphisms. He shows that there exists homogeneous Hadamard manifolds where there exists no left-invariant complex-valued harmonic morphism.
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    harmonic morphisms
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    homogeneous Hadamard manifolds
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    Lie algebras
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    isotropy groups
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