On the PPW Conjecture For Hopf-symmetric Sets In Non-compact Rank One Symmetric Space

Yusen Xia

In this paper, we proved that for a bounded Hopf-symmetric domain $\Omega$ in a noncompact rank one symmetric space $M$, the second Dirichlet eigenvalue ${\lambda }_2(\Omega )\le {\lambda }_2(B_1)$ where $…