Farrell–Ontaneda conjecture on topological triviality of negatively curved fiber bundles

Let $M\to E\to B$ be a smooth fiber bundle whose fiber admits a negatively curved Riemannian metric. Assume that $B$ is a paracompact, Hausdorff space with the homotopy type of a simply connected finite simplicial complex. Farrell–Ontaneda conjecture. Every such negatively curved fiber bundle is topologically trivial. The conjecture concerns the global topological rigidity of bundles with negatively curved fibers; the source presents it as an open direction for the rigidity results developed in the paper.