5 citations · 5 across the 3 of their papers we have counts for
3 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…
math.DG2017★ 5 cited
Diffeological, Frölicher, and Differential Spaces
Augustin Batubenge, Yael Karshon, Jordan Watts
Differential calculus on Euclidean spaces has many generalisations. In particular, on a set , a diffeological structure is given by maps from open subsets of Euclidean spaces to…