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The generalized Chern conjecture for manifolds that are locally a product of surfaces
Michelle Bucher, Tsachik Gelander
We consider closed manifolds that admit a metric locally isometric to a product of symmetric planes. For such manifolds, we prove that the Euler characteristic is an obstruction to…
math.GT2008
Milnor-Wood inequalities for manifolds locally isometric to a product of hyperbolic planes
Michelle Bucher, Tsachik Gelander
This note describes sharp Milnor--Wood inequalities for the Euler number of flat oriented vector bundles over closed Riemannian manifolds locally isometric to products of hyperboli…