2016/06/08 by Luciana Aparecida Alves, Alves, Luciana Aparecida, Neiton Pereira da Silva +1
Mathematics · Physics and Astronomy · #14M15 #14M17 #22E46 #53C25 #53C30 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:14M15 #msc:14M17 #msc:22E46 #msc:53C25 #msc:53C30
paper · pdf · doi:10.48550/arxiv.1606.02539
The article has 13 pages and 1 table. arXiv admin note: substantial text overlap with arXiv:1411.3170
arxiv created 2016/06/08 · openalex publication_date 2016/06/08 · arxiv updated 2016/06/09 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
It is well known that the Einstein equation on a Riemannian flag manifold (G/K,g) reduces to an algebraic system if g is a G-invariant metric. In this paper we obtain explicitly new invariant Einstein metrics on generalized flag manifolds of Sp(n) and SO(2n); and we compute the Einstein system for generalized flag manifolds of type Sp(n). We also consider the isometric problem for these Einstein metrics.