Publication
For the cotangent bundle T*Q of a smooth Riemannian manifold acted upon by the lift of a smooth and proper action by isometries of a Lie group, we characterize the symplectic normal space at any point. We show that this space splits as the direct sum of the cotangent bundle of a linear space and a symplectic linear space coming from reduction of a coadjoint orbit. This characterization of the symplectic normal space can be expressed solely in terms of the group action on the base manifold and the coadjoint representation. Some relevant particular cases are explored. (C) 2007 Elsevier B.V. All rights reserved.
Donna Testerman, Martin W. Liebeck
Daniel Kressner, Axel Elie Joseph Séguin, Gianluca Ceruti
Yiming Li, Frédéric Courbin, Georges Meylan, Yi Wang, Richard Massey, Fabio Finelli, Marcello Farina