Spectrum of compact manifolds with high genus
Lino Notarantonio
Abstract
In this paper we study the behavior of the spectrum of a compact, connected Riemannian manifold (M,g) of dimension d 2, when we add an increasing number of increasingly small handles. No assumptions on any of the curvatures are needed.
Create a lesson
Related papers
Essential spectral geometry of the Maxwell system in unbounded domains
Francesco Ferraresso, Marco Marletta
Solving Inverse Dirac-weighted Sturm-Liouville Problems via Cauchy problems
Min Zhao, Jiangang Qi, and Xiao Chen
Uniform High-Frequency Localization on Quantum Graphs
Binh T. Nguyen
Irreducibility of the Bloch variety for periodic Schrödinger operators in arbitrary dimension
Wencai Liu
Weighted heat traces of the Dirichlet Laplacian on Lipschitz domains
Lucas Kersten
An inverse problem on eigenfunction triple products
Carl Schildkraut, Romain Speciel