Milnor-Wood inequalities for products

Abstract

We prove Milnor-Wood inequalities for local products of manifolds. As a consequence, we establish the generalized Chern Conjecture for products $M\times {\Sigma }^k$ for any product of a manifold $M$ with a product of $k$ copies of a surface $\Sigma$ for $k$ sufficiently large.

8 pages; MSC keywords: characteristic classes and numbers

References in corpus (1)

• Superrigidity for irreducible lattices and geometric splitting