INVESTIGADORES
LAURET Jorge Ruben
artículos
Título:
Prescribing Ricci curvature on homogeneous spaces
Autor/es:
JORGE LAURET; CYNTHIA WILL
Revista:
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
Editorial:
WALTER DE GRUYTER & CO
Referencias:
Lugar: Berlin; Año: 2022
ISSN:
0075-4102
Resumen:
The prescribed Ricci curvature problem in the context of G-invariant metricson a homogeneous space M D G=K is studied. We focus on the metrics at which the mapg 7! Rc.g/ is, locally, as injective and surjective as it can be. Our main result is that such propertyis generic in the compact case. Our main tool is a formula for the Lichnerowicz Laplacianwe prove in terms of the moment map for the variety of algebras.
