CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Einstein solvmanifolds are standard
Autor/es:
JORGE LAURET
Revista:
ANNALS OF MATHEMATICS
Editorial:
ANNAL MATHEMATICS
Referencias:
Año: 2009
ISSN:
0003-486X
Resumen:
We study Einstein manifolds admitting a transitive solvable Lie group of isometries({\it solvmanifolds}). It is conjectured that these exhaust the class of noncompacthomogeneous Einstein manifolds. J. Heber \cite{Hbr} has showed that under a simple algebraic condition (he calls such a solvmanifold {\it standard}), Einsteinsolvmanifolds have many remarkable structural and uniqueness properties. In thispaper, we prove that any Einstein solvmanifold is standard, by applying astratification procedure adapted from one in geometric invariant theory due to F. Kirwan\cite{Krw1}.
