V. Matveev

activity

19972026

most citedA solution of a problem of Sophus Lie: Normal forms of 2-dim metrics admitting two projective vector fields

78 citations · 1.2k across the 112 of their papers we have counts for

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Showing 2004 · math.DGShow all

3 papers · 2 filters

math.DG2004

Strictly non-proportional geodesically equivalent metrics have $h_{top} (g) = 0$

Boris S. Kruglikov, Vladimir S. Matveev

Suppose the Riemannian metrics $g$ and $g ˉ$ on a closed connected manifold $M^{n}$ are geodesically equivalent and strictly non-proportional at least at one point. Then the topol…

math.DG2004★ 9 cited

Projective Lichnerowicz-Obata conjecture

Vladimir S. Matveev

We solve two classical conjectures by showing that if an action of a connected Lie group on a complete Riemannian manifold preserves the geodesics (considered as unparameterized cu…

math.DG2004★ 7 cited

Closed manifolds admitting metrics with the same geodesics

Vladimir S. Matveev

The goal of this survey is to give a list of resent results about topology of manifolds admitting different metrics with the same geodesics. We emphasize the role of the theory of…

Strictly non-proportional geodesically equivalent metrics have htop​(g)=0

Projective Lichnerowicz-Obata conjecture

Closed manifolds admitting metrics with the same geodesics

Strictly non-proportional geodesically equivalent metrics have $h_{top} (g) = 0$