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Four-dimensional Kähler metrics admitting c-projective vector fields

A vector field on a Kähler manifold is called c-projective if its flow preserves the J-planar curves. We give a complete local classification of Kähler real 4-dimensional manifolds that admit an essential c-projective vector field. An important technical step is a local description of 4-dimensional...

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Bibliographic Details
Main Authors: Alexey Bolsinov, Vladimir S. Matveev, Thomas Mettler, Steffan Rosemann
Format: Default Article
Published: 2015
Subjects:
Online Access:https://hdl.handle.net/2134/17886
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