Wolfgang Ziller, University of Pensylvania
A variational approach to prescribing the Ricci tensor
Abstract: We discuss the question of which tensors T can be the
Ricci tensor of a metric, i.e. Ric(g)=T or Ric(g)=cT for some
Solutions can be viewed as the critical points of a modified scalar
curvature functional and we examine the global behavior of this
functional in the case of homogeneous spaces.
This is joint work with Artem Pulemotov.