INVESTIGADORES
LAURET Emilio Agustin
artículos
Título:
The stability of standard homogeneous Einstein manifolds
Autor/es:
LAURET, EMILIO A.; LAURET, JORGE
Revista:
MATHEMATISCHE ZEITSCHRIFT
Editorial:
SPRINGER
Referencias:
Año: 2023 vol. 303 p. 16 - 16
ISSN:
0025-5874
Resumen:
Back in 1985, Wang and Ziller obtained a complete classification of all homogeneous spaces of compact simple Lie groups on which the standard or Killing metric is Einstein. The list consists, beyond isotropy irreducible spaces, of 12 infinite families (two of them are actually conceptual constructions) and 22 isolated examples. We study in this paper the nature of each of these Einstein metrics as a critical point of the scalar curvature functional.
