Induced Riemannian Structure on a Reduced Symplectic Manifold
Differential Geometry
2020-01-07 v1 Symplectic Geometry
Abstract
In this paper we determine conditions of existence of an induced Riemannian structure on the symplectic quotient of a symplectic and Riemannian manifold following the action of a Lie group acting upon it in a hamiltonian way with equivariant momentum mapping.
Cite
@article{arxiv.2001.01346,
title = {Induced Riemannian Structure on a Reduced Symplectic Manifold},
author = {Augustin T. Batubenge and Wallace M. Haziyu},
journal= {arXiv preprint arXiv:2001.01346},
year = {2020}
}
Comments
15 pages