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Дата последнего поиска статьи во внешних источниках: 26 сентября 2016 г.
Авторы:Bolsinov Alexey V.,
Matveev Vladimir S.,
Mettler Thomas,
Rosemann Stefan
Аннотация: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 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.