Some examples of homogeneous Einstein manifolds

Rodionov, E. D.

Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1993), p. [153]-155 / Harvested from

Résumé

The author obtains the classification of all invariant Einstein metrics on the following homogeneous spaces: $S U (3) / T_{max}$ , $S p (3) / S p (1) \times S p (1) \times S p (1)$ , $F_{4} / spin (8)$ , $S U (5) / S p (2) \times T^{1}$ . Combining this with the results of other authors, the classification of all invariant Einstein metrics on all compact simply connected homogeneous spaces admitting a homogeneous Riemannian metric of positive sectional curvature is obtained.

MR MR1246629 | Zbl 0795.53043

EUDML-ID : urn:eudml:doc:221463
Mots clés:

@article{701514,
     title = {Some examples of homogeneous Einstein manifolds},
     booktitle = {Proceedings of the Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {1993},
     pages = {[153]-155},
     mrnumber = {MR1246629},
     zbl = {0795.53043},
     url = {http://dml.mathdoc.fr/item/701514}
}

Rodionov, E. D. Some examples of homogeneous Einstein manifolds, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books,  (1993), pp. [153]-155. http://gdmltest.u-ga.fr/item/701514/