Abstract
We show that if [Formula: see text] is a polarized family of compact Kähler manifolds over the open unit disk [Formula: see text], if [Formula: see text] is a Riemannian manifold of nonpositive complexified sectional curvature, and if [Formula: see text] is a smooth family of pluriharmonic maps, then the Dirichlet energy [Formula: see text] is a subharmonic function of [Formula: see text].
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