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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 2022 · math.DGShow all

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math.DG2022★ 8 cited

Orthogonal separation of variables for spaces of constant curvature

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

We construct all orthogonal separating coordinates in constant curvature spaces of arbitrary signature. Further, we construct explicit transformation between orthogonal separating…

math.DG2022★ 4 cited

Almost every path structure is not variational

Boris S. Kruglikov, Vladimir S. Matveev

Given a smooth family of unparameterized curves such that through every point in every direction there passes exactly one curve, does there exist a Lagrangian with extremals being…