2023/11/22 by Kennerson N. S. Lima, Lima, Kennerson N. S.
Mathematics · Medicine · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Pelvic and Acetabular Injuries
paper · pdf · doi:10.48550/arxiv.2311.13669
In this work, we will expose new classification results concerning λ1-extremality for partial flag manifolds using a sufficient and necessary condition, in terms of Lie theoretic data, for a Kähler-Einstein metric over a generalized flag manifold to be a critical point for the functional that assigns for each Riemannian metric its first positive eigenvalue of the associated Laplacian.