arXiv subjects

Augustin T. Batubenge

Publications and source records attributed to Augustin T. Batubenge.

2 recordsLinked to original sources

arXiv2020

On the case where Adjoint and Coadjoint Orbit Spaces are Symplectomorphic

Let G be an n-dimensional semisimple compact and connected Lie group acting on both the Lie algebra g of G and its dual g*. We show that a nondegenerate Killing form of G induces an Ad*-equivariant isomorphism of g onto g* which, in turn, induces by passage to quotients a symplectomorphism between adjoint and coadjoint orbit spaces of G.

math.SG↗

arXiv2020

Induced Riemannian Structure on a Reduced Symplectic Manifold

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.

math.DG↗