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

collaborators

Showing 2021 · math.DGShow all

3 papers · 2 filters

math.DG2021★ 15 cited

Applications of Nijenhuis geometry III: Frobenius pencils and compatible non-homogeneous Poisson structures

Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev

We consider multicomponent local Poisson structures of the form $P_{3} + P_{1}$ , under the assumption that the third order term $P_{3}$ is Darboux-Poisson and…

math.DG2021★ 7 cited

Bernhard Riemann 1861 revisited: existence of flat coordinates for an arbitrary bilinear form

S. Bandyopadhyay, B. Dacorogna, V. S. Matveev +1

We generalize the celebrated results of Bernhard Riemann and Gaston Darboux: we give necessary and sufficient conditions for a bilinear form to be flat. More precisely, we give exp…

math.DG2021★ 8 cited

Geodesic random walks, diffusion processes and Brownian motion on Finsler manifolds

Tianyu Ma, Vladimir S. Matveev, Ilya Pavlyukevich

We show that geodesic random walks on a complete Finsler manifold of bounded geometry converge to a diffusion process which is, up to a drift, the Brownian motion corresponding to…