Camilo Arias Abad, Sebastián Vélez Vásquez
Published 2018-02-10Version 1
These are lecture notes prepared for the summer school "Geometric, algebraic and topological methods in quantum field theory", held in Villa de Leyva in July 2017. Our goal is to provide an introduction to a conjecture of Chern that states that the Euler characteristic of a closed affine manifold vanishes. We present part of the history and motivation for the conjecture as well as some recent developments. All comments and corrections are most welcome!
Weyl curvature and the Euler characteristic in dimension four
On some conjectures by Lu and Wenzel
Remark on a conjecture of conformal transformations of Riemannian manifolds
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