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Local Theory of Surfaces

  • Anatolij T. Fomenko
  • Tosiyasu L. Kinii

Abstract

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:

Keywords

Minimal Surface Tangent Vector Fundamental Form Gaussian Curvature Principal Curvature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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

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