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Einstein metrics on cohomogeneity one manifolds
Métricas de Einstein en variedades de cohomogeneidad uno
DOI:
https://doi.org/10.15446/bol.mat.v32n2.125630Palabras clave:
Einstein metrics, Cohomogeneity one manifold, Complex projective space (en)Métricas de Einstein, Variedad de cohomogeneidad uno, Espacio proyectivo complejo (es)
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This note presents results concerning the Einstein equation for metrics that preserve the symmetries induced by a cohomogeneity one action of a compact Lie group on a compact manifold. Specifically, we discuss the existence of Einstein metrics that are invariant under a cohomogeneity one action of the special orthogonal group on the complex projective space.
Esta nota presenta resultados sobre la ecuación de Einstein para métricas que preservan las simetrías inducidas por una acción de cohomogeneidad uno de un grupo de Lie compacto sobre una variedad compacta. Específicamente, se discute la existencia de métricas de Einstein que son invariantes bajo una acción de cohomogeneidad uno del grupo ortogonal especial sobre el espacio proyectivo complejo.
Referencias
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