Fibrations, the First Betti Number, and Almost Nonnegative Ricci Curvature

Hongzhi Huang, Xian-Tao Huang, Jikang Wang +1

In this paper, we prove fibration theorems for manifolds with almost nonnegative Ricci curvature and certain extra regularity assumptions. We show that a closed $n$-manifold $M$ sa…