Unique Structure on G-equivariant Manifolds

Details Unique Structure on G-equivariant Manifolds Unique Structure on G-equivariant Manifolds

2010-09-28

arxiv.org/abs/1009.5528v1

Mathematics

Differential Geometry

30 pages,12 figures

Scientific paper

We will have a deep look at the set of all $G$-equivariant maps from the
factor Lie group $G$ to the under the action manifold $M$, both from
"computational" and "observability" viewpoint. We will also be looking for the
existence of "unique" structure on this set, in a way that the induced-action
of Lie group $G$ be smooth on the mentioned set.

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