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 $\hat{I}\text{c◯}$ in a noncompact rank one symmetric space $M$, the second Dirichlet eigenvalue $\hat{I}{»}_2(\hat{I}\text{c◯})\le \hat{I}{»}_2(B_1)$ whe…