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Download fileFour-dimensional Kähler metrics admitting c-projective vector fields
journal contribution
posted on 2015-06-16, 13:01 authored by Alexey BolsinovAlexey Bolsinov, Vladimir S. Matveev, Thomas Mettler, Steffan RosemannA 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 c-projectively equivalent metrics of arbitrary signature. As an application of our results we prove the natural analog of the classical Yano-Obata conjecture in the pseudo-Riemannian 4-dimensional case.
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal des Mathematiques Pures et AppliqueesVolume
103Issue
3Pages
619 - 657Citation
BOLSINOV, A.V. et al, 2015. Four-dimensional Kähler metrics admitting c-projective vector fields. Journal des Mathematiques Pures et Appliquees, 103 (3), pp.619-657Publisher
© Elsevier Masson SASVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2015ISSN
0021-7824eISSN
1776-3371Publisher version
Language
- en