Open AccessOn the structure of complete simply-connected Kähler manifolds with nonpositive curvature
Author(s) -
Yum-Tong Siu,
Shing–Tung Yau
Publication year - 1976
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.73.4.1008
Subject(s) - curvature , mathematics , combinatorics , geometry
We prove that a complete simply-connected Kähler manifold with nonpositive sectional curvature is biholomorphic to the complex Euclidean space if the curvature is suitably small at infinity.