Work

Sum rules and sharp eigenvalue bounds for compact homogeneous irreducible Riemannian manifolds

Year: 2025

Type: article

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.

Source: Annals of Global Analysis and Geometry

DOI: 10.1007/s10455-025-10018-z

Authors: Luigi Provenzano, Joachim Stubbe

Institutions: Sapienza University of Rome, École Polytechnique Fédérale de Lausanne

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni