Conformal Boundary Deformations under Ricci Lower Bounds: Eigenvalue Counterexamples

Fagui Li, Yuhang Zhao

Let $(M^{n+1},g)$ be a compact Riemannian manifold with boundary. Under the assumptions $\Ric_g\geq ng$ and $\II_g\geq0$, Wang proposed a sharp strengthening of the Choi--Wang--Rei…