About this Journal Submit a Manuscript Table of Contents
The Scientific World Journal
Volume 2013 (2013), Article ID 265752, 3 pages
http://dx.doi.org/10.1155/2013/265752
Research Article

A Liouville Property of Holomorphic Maps

Department of Mathematics, Shantou University, Shantou, Guangdong 515063, China

Received 5 April 2013; Accepted 8 May 2013

Academic Editors: M. M. Cavalcanti and J.-S. Chen

Copyright © 2013 Chengjie Yu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. T. Yau, “Harmonic functions on complete Riemannian manifolds,” Communications on Pure and Applied Mathematics, vol. 28, pp. 201–228, 1975.
  2. L. F. Tam, “Liouville properties of harmonic maps,” Mathematical Research Letters, vol. 2, no. 6, pp. 719–735, 1995.
  3. S. T. Yau, “A general Schwarz lemma for Kähler manifolds,” The American Journal of Mathematics, vol. 100, no. 1, pp. 197–203, 1978.
  4. L. Ni and L. F. Tam, “Plurisubharmonic functions and the structure of complete Kähler manifolds with nonnegative curvature,” Journal of Differential Geometry, vol. 64, no. 3, pp. 457–524, 2003. View at Scopus
  5. H. Seshadri, “Negative sectional curvature and the product complex structure,” Mathematical Research Letters, vol. 13, no. 2-3, pp. 495–500, 2006. View at Scopus