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20062026
most citedGeometrical Optical Illusion via Sub-Riemannian Geodesics in the Roto-Translation Group

33 citations

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Showing 2015 · math.DGShow all

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math.DG2015★ 1 cited

Extremals in the Engel group with a sub-Lorentzian metric

Andrey Ardentov, Tiren Huang, Yuri L. Sachkov +1

Let E be the Engel group and D be a rank 2 bracket generating left invariant distribution with a Lorentzian metric, which is a nondegenerate metric of index 1. In this paper, we fi…

math.DG2015★ 15 cited

Cut locus of a left invariant Riemannian metric on SO(3) in the axisymmetric case

A. V. Podobryaev, Yu. L. Sachkov

We consider a left invariant Riemannian metric on SO(3) with two equal eigenvalues. We find the cut locus and the equation for the cut time. We find the diameter of such metric and…