The Chern-Yamabe problem

Mehdi Lejmi, CUNY
Fine Hall 314

On an almost-Hermitian manifold the Chern connection is the unique connection with J-anti-invariant torsion. In this talk we compare the Chern scalar curvature with the Riemannian one. Moreover, we study an analog of the Yamabe problem by looking for an almost-Hermitian metric with constant Chern scalar curvature in a conformal class and we extend results of Angella, Calamai and Spotti to the non-integrable case. We also study the Chen-Yamabe flow and get convergence to a solution in certain cases. These are joint works with Markus Upmeier and Ali Maalaoui.