Maximal first Betti number rigidity of noncompact $\text{RCD}(0,N)$ spaces

Zhu Ye

Let $(M,d,\mathfrak{m})$ be a noncompact $\text{RCD}(0,N)$ space with $N\in {\mathbb{N}}_{+}$ and $\text{supp}\mathfrak{m}=M$. We prove that if the first Betti number of $M$ equals $N…