Coset spaces and Einstein manifolds with l-conformal Galilei symmetry
High Energy Physics - Theory
2016-09-21 v2 Mathematical Physics
math.MP
Abstract
The group theoretic construction is applied to construct a novel dynamical realization of the --conformal Galilei group in terms of geodesic equations on the coset space. A peculiar feature of the geodesics is that all their integrals of motion, including the accelerations, are functionally independent. The analysis in the recent work [Phys. Lett. B 754 (2016) 249] is extended to construct the Einstein metrics with the --conformal Galilei isometry group.
Keywords
Cite
@article{arxiv.1606.08224,
title = {Coset spaces and Einstein manifolds with l-conformal Galilei symmetry},
author = {Dmitry Chernyavsky},
journal= {arXiv preprint arXiv:1606.08224},
year = {2016}
}
Comments
10 pages