New Einstein-Randers metrics on some homogeneous manifolds

作者：Tan, Ju; Xu, Na^*

来源：Mathematische Nachrichten, 2018, 291(17-18): 2693-2708.

DOI：10.1002/mana.201800075

• Einstein-Randers metrics
• flag manifolds
• homogeneous manifolds

In this article, we find several new non-Riemannian Einstein-Randes metrics on some homogeneous manifolds arising from the exceptional Lie groups. Based on the discussions about generalized flag manifolds with second Betti number b(2)(M) = 1, we firstly prove that there exists Riemannian Einstein metrics on these homogeneous manifolds. Then, we prove that there exists non-Riemannian Einstein-Randers metrics on these homogeneous manifolds.

• 出版日期2018-12
• 单位安徽工业大学