Obstructions to Riemmanian Smoothings of a Locally CAT(0) Manifold

Bakul Sathaye
Ohio State University
PhD Student

“In this talk I will discuss obstructions to Riemannian smoothings of a locally CAT(0) manifold. I will focus on obstructions in dimension = 4 given by Davis-Januszkiewicz-Lafont and show how their methods can be extended to construct more examples of locally CAT(0) 4-manifolds M that do not support Riemannian metric with non-positive sectional curvature. Further, the universal cover of such a manifold satisfies the isolated flats condition and contains a collection of 2-dimensional flats with the property that their boundaries at infinity form non-trivial links”.

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