journal6 ›› 2015, Vol. 36 ›› Issue (2): 1-7.DOI: 10.3969/j.issn.1007-2985.2015.02.001

• Mathematics •     Next Articles

Derivation of Gaussian Equation Formulas of Surface Theory

 XING  Jia-Sheng, GAO  Jian-Quan, LUO  Xiu-Hua   

  1. (1.Department of Mathematics,LMIB of the Ministry of Education,Beihang University,Beijing 100191,China;2.Pingdingshan Institute of Education,Pingdingshan 467000,Henan China)
  • Online:2015-03-25 Published:2015-04-28

Abstract: The Gaussian equation expression of surface theory is discussed.The direct explicit formula expression of Gaussian equation is derived by means of the matrix expression of the fundamental equation on curved surface.The derivation of Gaussian curvature simplified formula is discussed which discloses the discovery of Gaussian curvature implicit formula.The proof procedure of Gaussian equation of Liouville form is demonstrated.

Key words: fundamental equation of surface theory, matrix expression, Gaussian equation, Liouville form

WeChat e-book chaoxing Mobile QQ