2 problems

Let $\pi\colon (M^{n+k},\textsl g)\to (B^n,b)$ be a Riemannian submersion. Suppose that $(M,\textsl g)$ is compact and has positive sectional curvature. Petersen–Wilhelm's conjectu…

Let $F\hookrightarrow M\rightarrow B$ be a Riemannian submersion from a positively curved closed manifold $M$. Petersen–Wilhelm's fiber dimension conjecture. Then … This conjecture…