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 e-prints
- 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
- E-Print:
- minor modifications