2 papers
math.SG2020
On the case where Adjoint and Coadjoint Orbit Spaces are Symplectomorphic
Augustin T. Batubenge, Wallace M. Haziyu
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 a…
math.DG2020
Induced Riemannian Structure on a Reduced Symplectic Manifold
Augustin T. Batubenge, Wallace M. Haziyu
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 L…