Classification of generalized Wallach spaces

2014/11/12 by Yu. G. Nikonorov · 31 citations
Mathematics · #Advanced Banach Space Theory #Algebra over a field #Algebraic geometry #Approximation Theory and Sequence Spaces #Class (philosophy) #Differential geometry #Fixed Point Theorems Analysis #Hyperbolic geometry #Projective geometry #math.DG #msc:14M17 #msc:17A36 #msc:17B40 #msc:53C30 #msc:53C35 #msc:53C44

paper · pdf · doi:10.1007/s10711-015-0119-z

published in Geometriae Dedicata 181(1), 193-212 (Springer Science+Business Media) · 18 pages, 1 figure

arxiv created 2014/11/12 · openalex publication_date 2015/10/12 · arxiv updated 2020/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, we present the classification of generalized Wallach spaces and discuss some related problems.

Citations

• Compact Homogeneous Riemannian Manifolds with Strictly Positive Curvature
• Einstein Manifolds

Cited by

• Geodesic orbit Riemannian spaces with two isotropy summands. I
• The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow
• Geodesics in generalized Wallach spaces