RUS  ENG
Full version
JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2012 Volume 15, Number 1, Pages 120–128 (Mi mt230)

This article is cited in 3 papers

The geodesic flow of a sub-Riemannian metric on a solvable lie group

A. D. Mazhitova

Al Farabi Kazakh State University, Almaty, Kazakhstan

Abstract: We consider the sub-Riemannian problem on the three-dimensional solvable Lie group $\mathrm{SOLV}^+$. The problem is based on constructing a Hamiltonian structure for a given metric by the Pontryagin Maximum Principle.

Key words: sub-Riemannian geometry, left-invariant metric, Hamiltonian, geodesics.

UDC: 514.7

Received: 23.08.2011


 English version:
Siberian Advances in Mathematics, 2013, 23:2, 99–105

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025