Rigidity of surfaces

곡면의 강성의 역사

  • Kim, Ho-Bum (Department of Mathematics, Yonsei University)
  • Published : 2007.11.30

Abstract

In this article, the concept of rigidity of smooth surfaces in the three dimensional Euclidean space which naturally arises in elementary geometry is introduced, and the natural process of the development of rigidity theory for compact surfaces and its generalizations are investigated.

Keywords

convex surface;compact surface;congruence;isometry;rigidity;first fundamental form;second fundamental form;Gaussian curvature