First eigenvalue estimates for asymptotically hyperbolic manifolds and their submanifolds

Authors

• Samuel Pérez-Ayala, Haverford CollegeFollow
• Aaron J. Tyrrell

Document Type

Journal Article

Role

Author

Published In

Revista Matemática Iberoamericana

Publisher

European Mathematical Society

Volume

4

Issue

3

First Page

1117

Last Page

1142

Publication Date

3-23-2026

Abstract

We derive a sharp upper bound for the first eigenvalue λ1,p of the p-Laplacian on asymptotically hyperbolic (AH) manifolds for 1

Comments

Preprint version available at: https://doi.org/10.48550/arXiv.2404.07365

Keywords

Differential Geometry, Spectral Theory, eigenvalue estimates, asymptotically hyperbolic manifolds, submanifolds

Suggested Citation

Pérez-Ayala, Samuel (Mathematics & Statistics) & Tyrrell, A. J. (2026). First eigenvalue estimates for asymptotically hyperbolic manifolds and their submanifolds. Revista Matemática Iberoamericana, 42(3): 1117–1142. https://doi.org/10.4171/rmi/1612