Homogeneous phase spaces: the Cayley-Klein framework
Herranz, Francisco J. ; Santander, Mariano
arXiv, 9702030 / Harvested from arXiv
Text on arXiv
The metric structure of homogeneous spaces of rank-one and rank-two associated to the real pseudo-orthogonal groups SO(p,q) and some of their contractions (e.g., ISO(p,q), Newton-Hooke type groups...) is studied. All these spaces are described from a unified setting following a Cayley-Klein scheme allowing to simultaneously study the main features of their Riemannian, pesudoRiemannian and semiRiemannian metrics, as well as of their curvatures. Some of the rank-one spaces are naturally interpreted as spacetime models. Likewise, the same natural interpretation for rank-two spaces is as spaces of lines in rank-one spaces; through this relation these rank-two spaces give rise to homogeneous phase space models. The main features of the phase spaces for homogeneous spacetimes are analysed.
Publié le : 1997-02-24
Classification:  Mathematical Physics 
@article{9702030,
     author = {Herranz, Francisco J. and Santander, Mariano},
     title = {Homogeneous phase spaces: the Cayley-Klein framework},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9702030}
}

Herranz, Francisco J.; Santander, Mariano. Homogeneous phase spaces: the Cayley-Klein framework. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9702030/