| dc.creator | Will, Cynthia Eugenia | |
| dc.date.accessioned | 2018-09-17T20:43:58Z | |
| dc.date.available | 2018-09-17T20:43:58Z | |
| dc.date.created | 2018-09-17T20:43:58Z | |
| dc.date.issued | 2017-02 | |
| dc.identifier | Will, Cynthia Eugenia; Negative Ricci curvature on some non-solvable Lie groups; Springer; Geometriae Dedicata; 186; 1; 2-2017; 181-195 | |
| dc.identifier | 0046-5755 | |
| dc.identifier | http://hdl.handle.net/11336/59979 | |
| dc.identifier | CONICET Digital | |
| dc.identifier | CONICET | |
| dc.description.abstract | We show that for any non-trivial representation (V, π) of u(2) with the center acting as multiples of the identity, the semidirect product u(2) ⋉ πV admits a metric with negative Ricci curvature that can be explicitly obtained. It is proved that u(2) ⋉ πV degenerates to a solvable Lie algebra that admits a metric with negative Ricci curvature. An n-dimensional Lie group with compact Levi factor SU (2) admitting a left invariant metric with negative Ricci is therefore obtained for any n≥ 7. | |
| dc.language | eng | |
| dc.publisher | Springer | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10711-016-0185-x | |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10711-016-0185-x | |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | LIE GROUPS | |
| dc.subject | RICCI CURVATURE | |
| dc.subject | RIEMANNIAN METRICS | |
| dc.title | Negative Ricci curvature on some non-solvable Lie groups | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:ar-repo/semantics/artículo | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
