O. J. Windare

Deformed Gauduchon-Yamabe problems on compact Hermitian manifolds

We study a two-parameter deformation of scalar curvature associated with the Gauduchon connections on compact Hermitian manifolds. A central identity expresses its dependence on the connection parameter through the squared norm of the trace-free part of the torsion of the Chern connection. We establish existence criter...