Alternative Angle-Based Approach to the KS-Map. An Interpretation Through Symmetry and Reduction

Sebastian Ferrer, Francisco Crespo

The $\mathcal{K}\mathcal{S}$ map is revisited in terms of an $S^1$-action in $T^{\ast }{\mathbb{H}}_0$ with the bilinear function as the associated momentum map. Indeed, the $\mathcal{K}\mathcal{S}$ transform…