| Full text | |
| Author(s): |
del Barco, Viviana
;
Moroianu, Andrei
;
Schichl, Arthur
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Geometriae Dedicata; v. 217, n. 1, p. 23-pg., 2023-02-01. |
| Abstract | |
A conformal Lie group is a conformal manifold (M, c) such that M has a Lie group structure and c is the conformal structure defined by a left-invariant metric g on M. We study Weyl-Einstein structures on conformal solvable Lie groups and on their compact quotients. In the compact case, we show that every conformal solvmanifold carrying a Weyl-Einstein structure is Einstein. We also show that there are no left-invariant Weyl-Einstein structures on non-abelian nilpotent conformal Lie groups, and classify them on conformal solvable Lie groups in the almost abelian case. Furthermore, we determine the precise list (up to automorphisms) of left-invariant metrics on simply connected solvable Lie groups of dimension 3 carrying left-invariant Weyl-Einstein structures. (AU) | |
| FAPESP's process: | 21/09197-8 - Special invariant metrics on Lie groups and their compact quotients |
| Grantee: | Viviana Jorgelina Del Barco |
| Support Opportunities: | Regular Research Grants |