INVESTIGADORES
LAURET Jorge Ruben
artículos
Título:
On the diagonalization of the Ricci flow on Lie groups
Autor/es:
JORGE LAURET; CYNTHIA WILL
Revista:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Editorial:
AMER MATHEMATICAL SOC
Referencias:
Lugar: Providence; Año: 2013 vol. 141 p. 3651 - 3663
ISSN:
0002-9939
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.
