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arXiv · 2311.13669

Riemannian $\lambda_1$-extremal Metrics on Generalized Flag Manifolds

Kennerson N. S. Lima
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Abstract

In this work, we will expose new classification results concerning $\lambda_1$-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.

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BibTeXRIS

Kennerson N. S. Lima. 2023-11-22. Riemannian $\lambda_1$-extremal Metrics on Generalized Flag Manifolds. https://arxiv.org/abs/2311.13669

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