Ricci-flat and Einstein pseudoriemannian nilmanifolds
Abstract: This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group. Classifications of special classes of Ricci-˛at metrics on nilpotent Lie groups of dimension [eight.tf] are obtained. Some related open questions are presented.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Ricci-flat and Einstein pseudoriemannian nilmanifolds ; volume:6 ; number:1 ; year:2019 ; pages:170-193 ; extent:24
Complex manifolds ; 6, Heft 1 (2019), 170-193 (gesamt 24)
- Creator
-
Conti, Diego
Rossi, Federico A.
- DOI
-
10.1515/coma-2019-0010
- URN
-
urn:nbn:de:101:1-2410281512434.363862856014
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:20 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Conti, Diego
- Rossi, Federico A.
Other Objects (12)
Toric extremal Kähler-Ricci solitons are kähler-Einstein
Toric extremal Kähler-Ricci solitons are Kähler-Einstein
D3-brane supergravity solutions from Ricci-flat metrics on canonical bundles of Kähler–Einstein surfaces
Ricci-flat complex geometry and its applications
Correction to: Stability of ALE Ricci-Flat Manifolds Under Ricci Flow
Supersymmetry, Ricci flat manifolds and the String Landscape
Holonomy of singular Ricci-flat metrics
Optimal coordinates for Ricci-flat conifolds
Kaluza–Klein reductions and AdS/Ricci-flat correspondence
Mass-induced instability of SAdS black hole in Einstein–Ricci cubic gravity
Ausreißer Ricci
Ricci, Renato
Toric extremal Kähler-Ricci solitons are kähler-Einstein
Toric extremal Kähler-Ricci solitons are Kähler-Einstein
D3-brane supergravity solutions from Ricci-flat metrics on canonical bundles of Kähler–Einstein surfaces
Ricci-flat complex geometry and its applications
Correction to: Stability of ALE Ricci-Flat Manifolds Under Ricci Flow
Supersymmetry, Ricci flat manifolds and the String Landscape
Holonomy of singular Ricci-flat metrics
Optimal coordinates for Ricci-flat conifolds
Kaluza–Klein reductions and AdS/Ricci-flat correspondence
Mass-induced instability of SAdS black hole in Einstein–Ricci cubic gravity
Ausreißer Ricci
Ricci, Renato
Toric extremal Kähler-Ricci solitons are kähler-Einstein
Toric extremal Kähler-Ricci solitons are Kähler-Einstein
D3-brane supergravity solutions from Ricci-flat metrics on canonical bundles of Kähler–Einstein surfaces
Ricci-flat complex geometry and its applications
Correction to: Stability of ALE Ricci-Flat Manifolds Under Ricci Flow
Supersymmetry, Ricci flat manifolds and the String Landscape
Holonomy of singular Ricci-flat metrics
Optimal coordinates for Ricci-flat conifolds
Kaluza–Klein reductions and AdS/Ricci-flat correspondence
Mass-induced instability of SAdS black hole in Einstein–Ricci cubic gravity
Ausreißer Ricci