期刊文献+

芬斯勒几何:一个充满生机的数学领域 被引量:1

下载PDF
导出
摘要 回顾芬斯勒几何的发展史,介绍芬斯勒几何的若干主要研究进展,并对芬斯勒几何的发展前景作出积极展望.
作者 程新跃
出处 《高等数学研究》 2006年第4期10-14,共5页 Studies in College Mathematics
基金 国家自然科学基金资助项目(No.10371138)
  • 相关文献

参考文献18

  • 1B. Riemann,Uber die Hypothesen, velche der Geometrie zugrund liegen ,1854. English trandlation from M. Spivak,A Comprehensive Introduction to Differential Geometiy (second edition) ,vol. 2,135-153,Publish or Perish, 1979.
  • 2L. Berwald,Untersuchung der Krummung allgemeiner metrischer Raume auf Grund des in ihnen herrschenden Parallelismus, Math. Z. 25 (1926), 40-73.
  • 3L. Berwald,Parallelubertragung in allgemeinen Raumen ,Atti Congr. Intern. Mat. Bologna 4(1928),263-270.
  • 4Z. I. Szabo,Positive definite Berwald spaces,Tensor,N. S. ,35(1981),25-39.
  • 5E. Cartan,Les espaces de Finsler, Actualites 79 ,Paris, 1934.
  • 6S. S. Chern,On the Euclidean connections in a Finsler space, Proceedings of the National Academy of Sciences, 29(1)(1943),33-37.
  • 7S. S. Chern,Local equivalence and euclidean connections in Finsler spaces, Science Reports Tsing Hua Univ. 5(1948),95-121.
  • 8D. Bao,S. S. Chern and Z. Shen,An introduction to Riemann-Finsler geometry, Springer,Graduate Texts in Mathematics 200,2000.
  • 9H. Rund, The differential geometry of Finsler spaces, Springer-Verlag, 1959.
  • 10Z. Shen, Differential geometry of spary and Finsler spaces, Kluwer Academic Publishers, 2001.

同被引文献3

  • 1[2]Chern S,Shen Z.Riemman-Finsler Gemetry[M].Singapore:World Scientific Publisher,2005.88-92.
  • 2[4]Cheng Xinyue,Shen Z.A Class of Finsler Metric With Isotropic S-curvature.[preprint].2007,June.
  • 3Ben-ling LI & Zhong-min SHEN Department of Mathematics, Zhejiang University, Hangzhou 310028, China,Department of Mathematical Sciences, Indiana University Purdue University Indianapolis (IUPUI), 402 N. Blackford Street, Indianapolis, IN 46202-3216, USA,Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China.On a class of weak Landsberg metrics[J].Science China Mathematics,2007,50(4):573-589. 被引量:14

引证文献1

二级引证文献8

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部