55 citations · 199 across the 8 of their papers we have counts for
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There exist no 4-dimensional geodesically equivalent metrics with the same stress-energy tensor
Volodymir Kiosak, Vladimir S. Matveev
We show that if two 4-dimensional metrics of arbitrary signature on one manifold are geodesically equivalent (i.e., have the same geodesics considered as unparameterized curves) an…
The only Kähler manifold with degree of mobility is
A. Fedorova, V. Kiosak, V. S. Matveev +1
The degree of mobility of a (pseudo-Riemannian) Kähler metric is the dimension of the space of metrics h-projectively equivalent to it. We prove that a metric on a closed connected…
Special Einstein's equations on Kähler manifolds
I. Hinterleitner, V. Kiosak
This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov's classification of Riemannian manifolds a…
There are no conformal Einstein rescalings of complete pseudo-Riemannian Einstein metrics
Volodymyr Kiosak, Vladimir S. Matveev
We prove the following statement: Let g be a light-line-complete pseudo-Riemannian Einstein metric of indefinite signature on a connected (n>2)-dimensional manifold M. Assume that…
Proof of projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two
Volodymyr Kiosak, Vladimir S. Matveev
We prove an important partial case of the pseudo-Riemannian version of the projective Lichnerowicz conjecture stating that a complete manifold admitting an essential group of proje…
Complete Einstein metrics are geodesically rigid
Volodymyr Kiosak, Vladimir S. Matveev
We prove that every complete Einstein (Riemannian or pseudo-Riemannian) metric is geodesically rigid: if any other complete metric has the same (unparametrized) geodes…
Fubini Theorem for pseudo-Riemannian metrics
Alexey V. Bolsinov, Volodymyr Kiosak, Vladimir S. Matveev
We generalize the following classical result of Fubini for pseudo-Riemannian metrics: if three essentially different metrics on share the same unparametrized geodesics…