Connected sum of manifolds with spectral Ricci lower bounds

Gioacchino Antonelli, Kai Xu

Let $n>2$, $\gamma >\frac{n-1}{n-2}$, and $\lambda \in \mathbb{R}$. We prove that if $M$ and $N$ are two smooth $n$-manifolds that admit a complete Riemannian metric satisfying \[-γΔ+ \mathr…