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The local classifications of the ruled surfaces of normals and binormals of a regular space curve

The local classifications of the ruled surfaces of normals and binormals of a regular space curve
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摘要 The ruled surfaces of normals and binormals of a space curve is locally classified under the left-right action according to the types of the curve. In order to do this some useful results are obtained on the relationship of the powers of terms in the Taylor series of an invertible function and its inverse. The ruled surfaces of normals and binormals of a space curve is locally classified under the left-right action according to the types of the curve. In order to do this some useful results are obtained on the relationship of the powers of terms in the Taylor series of an invertible function and its inverse.
出处 《Science China Mathematics》 SCIE 2007年第4期533-548,共16页 中国科学:数学(英文版)
基金 This work was supported by the National Natural Science Foundation of China (Grant Nos. 10261002 and 10671009)
关键词 local classification left-right equivalence orthogonal-right equivalence ruled surface normal and binormal 53A04 58C27 local classification left-right equivalence orthogonal-right equivalence ruled surface normal and binormal
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参考文献1

  • 1Edward Bierstone,Pierre D. Milman.Semianalytic and subanalytic sets[J].Publications Mathématiques de L’Institut des Hautes Scientifiques.1988(1)

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