Sum rules and sharp eigenvalue bounds for compact homogeneous irreducible Riemannian manifolds
Abstract We exploit an identity for the gradients of Laplacian eigenfunctions on compact homogeneous Riemannian manifolds with irreducible linear isotropy group to obtain asymptotically sharp universal eigenvalue inequalities and sharp Weyl bounds on Riesz means. The approach is non variational and is based on identities for spectral quantities in the form of sum rules.
Authors
- Luigi Provenzano (ORCID: https://orcid.org/0000-0002-1804-3725)
- Joachim Stubbe
Institutions
- École Polytechnique Fédérale de Lausanne (CH)
- Sapienza University of Rome (IT)
Publication Details
- Journal
- Annals of Global Analysis and Geometry
- Published
- 2025-09-22
- DOI
- https://doi.org/10.1007/s10455-025-10018-z
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- European Commission
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni