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Hyper-Hermitian metrics with symmetry

✍ Scribed by P. Gauduchon; K.P. Tod

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
902 KB
Volume
25
Category
Article
ISSN
0393-0440

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✦ Synopsis

We show that any four-dimensional hyper-Hermitian manifold admitting a non-trivial triholomorphic Killing vector field is locally determined by the solution of a monopole-like equation on a three-dimensional Einstein-Weyl space of a special type. Conversely, any four-dimensional hyper-Hermitian manifold admitting a non-trivial tri-holomorphic Killing vector field arises in this way.

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