Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Harmonic morphisms from homogeneous Hadamard manifolds   We present a new method for manufacturing complex-valued harmonic morphisms
from a wide class of Riemannian Lie groups. This yields new solutions from an
important family of homogeneous Hadamard manifolds. We also give a new method
for constructing left-invariant foliations on a large class of Lie groups
producing harmonic morphisms

11
The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph