Some examples of homogeneous Einstein manifolds

Rodionov, E. D.

  • Proceedings of the Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [153]-155

Abstract

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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 ) × S p ( 1 ) × S p ( 1 ) , F 4 / spin ( 8 ) , S U ( 5 ) / S p ( 2 ) × 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.

How to cite

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Rodionov, E. D.. "Some examples of homogeneous Einstein manifolds." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1993. [153]-155. <http://eudml.org/doc/221463>.

@inProceedings{Rodionov1993,
abstract = {The author obtains the classification of all invariant Einstein metrics on the following homogeneous spaces: $SU(3)/T_\{\max \}$, $Sp(3)/Sp(1) \times Sp(1) \times Sp(1)$, $F_4/ \text\{spin\} (8)$, $SU(5)/Sp(2) \times T^1$. 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.},
author = {Rodionov, E. D.},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
keywords = {Proceedings; Geometry; Srní (Czechoslovakia); Physics},
location = {Palermo},
pages = {[153]-155},
publisher = {Circolo Matematico di Palermo},
title = {Some examples of homogeneous Einstein manifolds},
url = {http://eudml.org/doc/221463},
year = {1993},
}

TY - CLSWK
AU - Rodionov, E. D.
TI - Some examples of homogeneous Einstein manifolds
T2 - Proceedings of the Winter School "Geometry and Physics"
PY - 1993
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [153]
EP - 155
AB - The author obtains the classification of all invariant Einstein metrics on the following homogeneous spaces: $SU(3)/T_{\max }$, $Sp(3)/Sp(1) \times Sp(1) \times Sp(1)$, $F_4/ \text{spin} (8)$, $SU(5)/Sp(2) \times T^1$. 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.
KW - Proceedings; Geometry; Srní (Czechoslovakia); Physics
UR - http://eudml.org/doc/221463
ER -

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