Local Theory of Surfaces

  • Anatolij T. Fomenko
  • Tosiyasu L. Kinii


As a definition of a surface, Definition 2.3.1 is not entirely satisfactory, because it does not cover many objects that we would naturally like to call surfaces, such as a sphere. Indeed, there are three common ways in which objects that we consider surfaces in ℝ3 can arise:


Minimal Surface Tangent Vector Fundamental Form Gaussian Curvature Principal Curvature 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Japan 1997

Authors and Affiliations

  • Anatolij T. Fomenko
    • 1
  • Tosiyasu L. Kinii
    • 2
    • 3
  1. 1.Department of Differential Geometry and Application, Faculty of Mathematics and MechanicsMoscow State UniversityMoscowRussia
  2. 2.Laboratory of Digital Art and TechnologyTokyo, 113Japan
  3. 3.Senior Partner of MONOLITH Co. Ltd.Tokyo, 106Japan

Personalised recommendations