Sub-Riemannian distance in the Lie groups SU(2) and SO(3)

Author:

Berestovskiĭ V. N.,Zubareva I. A.

Publisher

Allerton Press

Subject

General Mathematics

Reference10 articles.

1. A. A. Agrachev and Yu. L. Sachkov, Geometric Control Theory (Fizmatlit,Moscow, 2004) [Control Theory from the Geometric Viewpoint. Encyclopaedia of Mathematical Sciences 87 (Springer, Berlin, 2004)].

2. V. N. Berestovskiĭ, “Universal methods of the search of normal geodesics on Lie groups with left-invariant sub-Riemannian metric,” Sib. Mat. Zh. 55, 959 (2014) [Sib.Math. J. 55, 783 (2014)].

3. V. N. Berestovskiĭ, “(Locally) shortest arcs of a special sub-Riemannian metric on the Lie group SO0(2, 1),” Algebra Anal 27, 3 (2015) [St. PetersburgMath. J. 27, 1 (2016)].

4. V. N. Berestovskiĭ and L. Guijarro, “A metric characterization of Riemannian submersions,” Ann. Global Anal. Geom. 18, 577 (2000).

5. V. N. Berestovskiĭ and I. A. Zubareva, “Shapes of spheres of special nonholonomic left-invariant intrinsic metrics on some Lie groups,” Sib. Mat. Zh. 42, 731 (2001) [Sib.Math. J. 42, 613 (2001)].

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