Communications in Analysis and Geometry
Volume 27 (2019)
Differential geometry of the mixed Hodge metric
Pages: 671 – 742
We investigate properties of the mixed 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 Kähler. Several applications in cases of geometric interest are given, such as for normal functions and biextension bundles.
Received 20 July 2016
Accepted 17 March 2017
Published 3 September 2019