Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2505.18439 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915691955748864 |
|---|---|
| author | Xia, Yusen |
| author_facet | Xia, Yusen |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_18439 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the PPW Conjecture For Hopf-symmetric Sets In Non-compact Rank One Symmetric Space Xia, Yusen Differential Geometry 53 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. |
| title | On the PPW Conjecture For Hopf-symmetric Sets In Non-compact Rank One Symmetric Space |
| topic | Differential Geometry 53 |
| url | https://arxiv.org/abs/2505.18439 |