The isotropy lattice of a lifted action
Abstract
We obtain an algorithmic construction of the isotropy lattice for a lifted action of a Lie group $G$ on $TM$ and $T^*M$ based only on the knowledge of $G$ and its action on $M$. Some applications to symplectic geometry are also shown.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2005
 DOI:
 10.48550/arXiv.math/0506014
 arXiv:
 arXiv:math/0506014
 Bibcode:
 2005math......6014R
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Symplectic Geometry;
 22E99;
 32S60;
 53D20
 EPrint:
 minor modifications