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 2010 · math.DGShow all

3 papers · 2 filters

math.DG2010★ 28 cited

The only Kähler manifold with degree of mobility $\geq 3$ is $(C P (n), g_{F u bini - S t u d y})$

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…

math.DG2010★ 7 cited

Pseudo-Riemannian metrics on closed surfaces whose geodesic flows admit nontrivial integrals quadratic in momenta, and proof of the projective Obata conjecture for two-dimensional pseudo-Riemannian metrics

Vladimir S. Matveev

We describe all pseudo-Riemannian metrics on closed surfaces whose geodesic flows admit nontrivial integrals quadratic in momenta. As an application, we solve the Beltrami problem…

math.DG2010

Proof of projective Obata conjecture for two-dimensional pseudo-Riemannian metrics

Vladimir S. Matveev

I prove the two-dimensional pseudo-Riemannian version of the projective Obata conjecture stating that on a closed manifold different from the round sphere every projective (i.e., g…

The only Kähler manifold with degree of mobility ≥3 is (CP(n),gFubini−Study​)

Pseudo-Riemannian metrics on closed surfaces whose geodesic flows admit nontrivial integrals quadratic in momenta, and proof of the projective Obata conjecture for two-dimensional pseudo-Riemannian metrics

Proof of projective Obata conjecture for two-dimensional pseudo-Riemannian metrics

The only Kähler manifold with degree of mobility $\geq 3$ is $(C P (n), g_{F u bini - S t u d y})$