Hongzhi Huang

Nonnegative Ricci curvature, Euclidean volume growth, and the fundamental groups of open 4-manifolds

Abstract Let 𝑀 be a 4-dimensional open manifold with nonnegative Ricci curvature. In this paper, we prove that if the universal cover of 𝑀 has Euclidean volume growth, then the fundamental group π 1 ⁢ ( M ) \pi_{1}(M) is finitely generated. This result confirms Pan–Rong’s conject...