# Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds

## Abstract

The obstruction to the existence of global action-angle coordinates of Abelian and noncommutative (non-Abelian) completely integrable systems with compact invariant submanifolds has been studied. We extend this analysis to the case of noncompact invariant submanifolds.

- Authors:

- Department of Mathematics and Informatics, University of Camerino, 62032 Camerino, Macerata (Italy)
- (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 20929667

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 3; Other Information: DOI: 10.1063/1.2713079; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMMUTATION RELATIONS; COORDINATES; GAUGE INVARIANCE; INTEGRAL CALCULUS; QUANTUM FIELD THEORY

### Citation Formats

```
Fiorani, E., Sardanashvily, G., and Department of Theoretical Physics, Moscow State University, 117234 Moscow.
```*Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds*. United States: N. p., 2007.
Web. doi:10.1063/1.2713079.

```
Fiorani, E., Sardanashvily, G., & Department of Theoretical Physics, Moscow State University, 117234 Moscow.
```*Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds*. United States. doi:10.1063/1.2713079.

```
Fiorani, E., Sardanashvily, G., and Department of Theoretical Physics, Moscow State University, 117234 Moscow. Thu .
"Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds". United States.
doi:10.1063/1.2713079.
```

```
@article{osti_20929667,
```

title = {Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds},

author = {Fiorani, E. and Sardanashvily, G. and Department of Theoretical Physics, Moscow State University, 117234 Moscow},

abstractNote = {The obstruction to the existence of global action-angle coordinates of Abelian and noncommutative (non-Abelian) completely integrable systems with compact invariant submanifolds has been studied. We extend this analysis to the case of noncompact invariant submanifolds.},

doi = {10.1063/1.2713079},

journal = {Journal of Mathematical Physics},

number = 3,

volume = 48,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}

DOI: 10.1063/1.2713079

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