Differential Geometry of the Mixed Hodge Metric
  We investigate properties of the Hodge metric of a mixed period domain. In particular, we calculate its curvature and the curvature of the Hodge bundles. We also consider when the pull back metric via a period map is K\"ahler. Several applications in cases of geometric interest are given, such as for normal functions and biextension bundles. 
Gregory Pearlstein and Chris Peters
math.AG math.CV math.DG