Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.18439 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- In this paper, we proved that for a bounded Hopf-symmetric domain $Ω$ in a noncompact rank one symmetric space $M$, the second Dirichlet eigenvalue $λ_2 (Ω) \leq λ_2 (B_1)$ where $B_1$ is a geodesic ball in $M$ such that $λ_1 (Ω) =λ_1 (B_1)$. This generalizes the work of Ashbaugh & Benguria, Benguria & Linde for bounded domains in constant curvature spaces.