78 citations · 1.2k across the 112 of their papers we have counts for
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Riemannian metrics having common geodesics with Berwald metrics
Vladimir S. Matveev
In Theorem 1, we generalize the results of Szabo for Berwald metrics that are not necessary strictly convex: we show that for every Berwald metric F there always exists a Riemannia…
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…
On projectively equivalent metrics near points of bifurcation
Vladimir S. Matveev
Let Riemannian metrics and on a connected manifold have the same geodesics (considered as unparameterized curves). Suppose the eigenvalues of one metric with res…
On "Regular Landsberg metrics are always Berwald" by Z. I. Szabo
Vladimir S. Matveev
A gap in the proof of the finsler "unicorn" conjecture in the paper "Regular Landsberg metrics are always Berwald" by Z. I. Szabo is pointed out
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…
Metric connections in projective differential geometry
Michael Eastwood, Vladimir S. Matveev
We search for Riemannian metrics whose Levi-Civita connection belongs to a given projective class. Following Sinjukov and Mikes, we show that such metrics correspond precisely to s…