Table of Contents
ISRN Geometry
Volume 2011 (2011), Article ID 374672, 12 pages
http://dx.doi.org/10.5402/2011/374672
Research Article

The Energy Density Gap of Harmonic Maps between Finsler Manifolds

School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China

Received 13 April 2011; Accepted 24 May 2011

Academic Editors: D. Danielli and S. Kar

Copyright © 2011 Jingwei Han et al. 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. Q. He and Y. B. Shen, “Some results on harmonic maps for Finsler manifolds,” International Journal of Mathematics, vol. 16, no. 9, pp. 1017–1031, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  2. Q. He and Y. B. Shen, “Some properties of harmonic maps for Finsler manifolds,” Houston Journal of Mathematics, vol. 33, no. 3, pp. 683–699, 2007. View at Google Scholar · View at Zentralblatt MATH
  3. X. Mo, “Harmonic maps from Finsler manifolds,” Illinois Journal of Mathematics, vol. 45, no. 4, pp. 1331–1345, 2001. View at Google Scholar · View at Zentralblatt MATH
  4. X. Mo and Y. Yang, “The existence of harmonic maps from Finsler manifolds to Riemannian manifolds,” Science in China. Series A, vol. 48, no. 1, pp. 115–130, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. Y. B. Shen and Y. Zhang, “The second variation of harmonic maps between Finsler manifolds,” Science in China. Series A, vol. 33, no. 1, pp. 610–620, 2003. View at Publisher · View at Google Scholar
  6. J. Han and Y. B. Shen, “Harmonic maps from complex Finsler manifolds,” Pacific Journal of Mathematics, vol. 236, no. 2, pp. 341–356, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. R. Schoen and S. T. Yau, “Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature,” Commentarii Mathematici Helvetici, vol. 39, no. 3, pp. 333–341, 1976. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. H. C. Sealey, “Harmonic maps of small energy,” The Bulletin of the London Mathematical Society, vol. 13, no. 5, pp. 405–408, 1981. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. D. Bao, S. S. Chern, and Z. Shen, An Introduction to Riemann-Finsler Geometry, vol. 200 of Graduate Texts in Mathematics, Springer, New York, NY, USA, 2000. View at Zentralblatt MATH