Differential geometry of the mixed Hodge metric

Gregory Pearlstein, Chris Peters

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)671-742
Number of pages72
JournalCommunications in Analysis and Geometry
Issue number3
Publication statusPublished - 3 Sep 2019

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