On the geometry of graph manifolds

On the geometry of graph manifolds

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Wolfgang Ziller , University of Pennsylvania
Fine Hall 314

In many geometric problems the curvature tensor of a Riemannian manifold has large nullity. We show that, under certain regularity assumptions, a Riemannian manifold with almost maximal nullity is isometric to an n-dimensional graph manifold. As a consequence we show that Nomizu's conjecture holds for finite volume manifolds. This is joint work with Luis Florit.