2021/07/14 by Christoph Böhm, Böhm, Christoph, Megan M. Kerr +1 · 1 citation
Mathematics · #53C25 #53C30 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2107.06609
openalex publication_date 2021/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
M.~M.~Graev associated in \citeGr to a compact homogeneous space G/H a nerve \XGH, whose non-contractibility implies the existence of a G-invariant Einstein metric on G/H. The nerve \XGH is a compact semi-algebraic set, defined purely Lie theoretically by intermediate subgroups. In this paper we present a detailed description of the work of Graev and the curvature estimates of \citeBo.