Artículo

On the diagonalization of the Ricci flow on Lie groups

Lauret, Jorge RubenIcon ; Will, Cynthia EugeniaIcon
Fecha de publicación: 06/2012
Editorial: American Mathematical Society
Revista: Proceedings of the American Mathematical Society
ISSN: 0002-9939
e-ISSN: 1088-6826
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

The main purpose of this note is to prove that any basis of a nilpotent Lie algebra for which all diagonal left-invariant metrics have diagonal Ricci tensor necessarily produce quite a simple set of structural constants; namely, the bracket of any pair of elements of the basis must be a multiple of one of them and only the bracket of disjoint pairs can be nonzero multiples of the same element. Some applications to the Ricci flow of left-invariant metrics on Lie groups concerning diagonalization are also given.
Palabras clave: Ricci Flow , Lie group
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/200759
URL: https://www.jstor.org/stable/23562388
URL: https://arxiv.org/abs/1110.4003
DOI: https://doi.org/10.48550/arXiv.1110.4003
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Lauret, Jorge Ruben; Will, Cynthia Eugenia; On the diagonalization of the Ricci flow on Lie groups; American Mathematical Society; Proceedings of the American Mathematical Society; 141; 10; 6-2012; 3651-3663
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