CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe extend to the semi-Riemannian context the well-known results obtained by Blair, Ludden and Yano on toroidal principal bundles endowed with a metric globally framed f-structure. In this way we obtain examples of compact indefinite S-manifolds. Then, we define an indefinite S-structure on the Lie group U(2) with a Lorentz left-invariant metric and, applying our results, we construct commutative diagrams involving semi-Riemannian submersions and Hopf fibrations. We also prove that U(2) with such a structure is foliated by Reinhart lightlike hypersurfaces. Finally, we consider a normal indefinite globally framed f-structure on the Lie group U(4) pro- ving that it projects on U(4)/U(3) in a Sasakian structure isomorphic to the standard Sasakian structure of S^7
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Examples of indefinite globally framed f-structures on compact Lie groups | |
| Autori: | ||
| Data di pubblicazione: | 2012 | |
| Rivista: | ||
| Abstract: | We extend to the semi-Riemannian context the well-known results obtained by Blair, Ludden and Yano on toroidal principal bundles endowed with a metric globally framed f-structure. In this way we obtain examples of compact indefinite S-manifolds. Then, we define an indefinite S-structure on the Lie group U(2) with a Lorentz left-invariant metric and, applying our results, we construct commutative diagrams involving semi-Riemannian submersions and Hopf fibrations. We also prove that U(2) with such a structure is foliated by Reinhart lightlike hypersurfaces. Finally, we consider a normal indefinite globally framed f-structure on the Lie group U(4) pro- ving that it projects on U(4)/U(3) in a Sasakian structure isomorphic to the standard Sasakian structure of S^7 | |
| Handle: | http://hdl.handle.net/11586/1136 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
http://hdl.handle.net/11586/1136
Copyright © 2021