Low-dimensional homogeneous Einstein manifolds

By Christoph Böhm, Megan M. Kerr. 2005

67 citations recorded by the source corpus.

We show that compact, simply connected homogeneous spaces up to dimension 11 admit homogeneous Einstein metrics.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/fcd7d09afe8441ffe8f5a6c3f2b0360822fc4c21

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Andreas Arvanitoyeorgos

In Astronomy and Astrophysics

1. Andreas Arvanitoyeorgos

In Geometry and Topology

1. Yifang Kang
2. Ke Liang
3. Andreas Arvanitoyeorgos
4. Zhiqi Chen

Citations in the corpus

• Invariant Einstein metrics on three-locally-symmetric spaces (2014, background): “There are a lot of progress in the study on invariant Einstein metrics of homogeneous manifolds, such as the articles [1, 3, 4, 8, 9, 10, 15, 16, 17, 19, 20, 22, 23, 24, 25, 26, 29, 30, 31, 33, 34], and the survey article [28] and so on.”
• Einstein metrics on compact Lie groups which are not naturally reductive (2009, background): “Among them we mention the works [2], [3], [4], [11], and the survey [10].”