Locally symmetric and rigid factors for complex manifolds via harmonic maps

Abstract

We obtain a complete description of the Lie algebra of complete holomorphic vector fields on the universal cover of a compact complex manifold with negative first Chern class. The main tools are an equivariance result we prove for harmonic maps and the rigidity theory for harmonic maps from Kähler manifolds to locally symmetric spaces.

DOI

https://doi.org/10.2307/2118521

Authors

Sidney Frankel