Three-dimensional Lorentzian homogeneous Ricci solitons

Autor:	Eduardo García-Río, Giovanni Calvaruso, Miguel Brozos-Vázquez, S. Gavino-Fernández
Přispěvatelé:	Calvaruso, Giovanni, Miguel Brozos, Vazquez, Eduardo Garcia, Rio, Sandra Gavino, Fernandez
Rok vydání:	2009
Předmět:	Mathematics - Differential Geometry General Mathematics Operator (physics) Diagonalizable matrix Mathematical analysis FOS: Physical sciences Ricci flow 53C21 53C50 53C25 Mathematical Physics (math-ph) Nonlinear Sciences::Exactly Solvable and Integrable Systems Differential Geometry (math.DG) Homogeneous FOS: Mathematics Mathematics::Metric Geometry Mathematics::Differential Geometry Algebra over a field Nonlinear Sciences::Pattern Formation and Solitons Mathematical Physics Eigenvalues and eigenvectors Mathematics
DOI:	10.48550/arxiv.0911.1247
Popis:	We study three-dimensional Lorentzian homogeneous Ricci solitons, proving the existence of shrinking, expanding and steady Ricci solitons. For all the non-trivial examples, the Ricci operator is not diagonalizable and has three equal eigenvalues.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19ab0311b45d4d58ef65f80e7efef103 Zobrazit plný text záznamu