Riemannian $\lambda_1$-extremal Metrics on Generalized Flag Manifolds
Differential Geometry
2023-12-12 v2
Abstract
In this work, we will expose new classification results concerning -extremality for partial flag manifolds using a sufficient and necessary condition, in terms of Lie theoretic data, for a K\"ahler-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.
Cite
@article{arxiv.2311.13669,
title = {Riemannian $\lambda_1$-extremal Metrics on Generalized Flag Manifolds},
author = {Kennerson N. S. Lima},
journal= {arXiv preprint arXiv:2311.13669},
year = {2023}
}