Affiliation:
1. Mathematical Institute University of Oxford Oxford UK
Abstract
AbstractOn a complete Calabi‐Yau manifold M with maximal volume growth, a harmonic function with subquadratic polynomial growth is the real part of a holomorphic function. This generalizes a result of Conlon‐Hein. We prove this result by proving a Liouville‐type theorem for harmonic 1‐forms, which follows from a new local L2 estimate of the exterior derivative.
Subject
Applied Mathematics,General Mathematics