Upper bounds for the second nonzero eigenvalue of the Laplacian via folding and conformal volume
Spectral Theory
2025-01-16 v1 Differential Geometry
Abstract
We prove an upper bound for the volume-normalized second nonzero eigenvalue of the Laplace operator on closed Riemannian manifold, in terms of the conformal volume. This bound provides effective upper bound for a large class of manifolds, thereby generalizing many known results.
Cite
@article{arxiv.2501.08761,
title = {Upper bounds for the second nonzero eigenvalue of the Laplacian via folding and conformal volume},
author = {Mehdi Eddaoudi and Alexandre Girouard},
journal= {arXiv preprint arXiv:2501.08761},
year = {2025}
}