期刊文献+

时空背景的微分几何表征 被引量:1

Expressingand explaining the space-time background of relativity by means of differential geometry
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摘要  文章从近代微分几何及其核心概念微分流形着手,阐释了流形及相关问题与物理背景空间的关系,重新认识张量场和剖析相对论背景时空。 Based on differential on differential geometry and its fundamental concept——differential manifold; the relation of the manifold and the related problems to Einstein's Relativity is pointed out in this paper, and by the 4-dimensional geometric language the space-time background is analyzed again and is expressed and explained at last.
作者 肖学雷
出处 《云南师范大学学报(自然科学版)》 2004年第6期33-35,40,共4页 Journal of Yunnan Normal University:Natural Sciences Edition
关键词 微分流形 相对论 背景时空 表征 differential manifold space-time background relativity expressing
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同被引文献8

  • 1武宝亭.高度螺线纤维“丛”的机理研究[J].数学的实践与认识,1997,27(2):148-152. 被引量:2
  • 2CHANG Mei-chun.Some remarks on Buchsbaum bundles[J].Journal of Pure and Applied Algebra,2000,152(1-3):49-55.
  • 3LAWSON J K.A frame bundle generalization of multisymplectic geometries[J].Reports on Mathematical Physics Volume,2000,45(2):183-205.
  • 4DALE Husemoller.Fibre Bundles[M].2nd Edition.New York Heidelberg Berlin:Springer-verlag,1975.
  • 5BOECKX E,VANHECKE L.Harmonic and minimal vector fields on tangent and unit tangent bundles[J].Differential Geometry and its Applications,2000,13(1):77-93.
  • 6CANTRIJN F,LANGEROCK B.Generalised connections over a vector bundle map[J].Differential Geometry and its Applications,2003,18(3):295-317.
  • 7古志鸣.一类丛映射的存在性[J].中国科学(A辑),2001,31(6):517-522. 被引量:3
  • 8张飞军.自由丛、投射丛与一般模丛的侵入性[J].工程数学学报,2004,21(3):448-450. 被引量:5

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