• Anatolij T. Fomenko
  • Tosiyasu L. Kinii


Consider an n-dimensional Riemannian manifold M (without boundary) with Riemannian metric gij, expressed in local coordinates x 1,...,x n, so that the (square of) the element of length is given by
$$d{s^2}\; = \;\sum {_{gij}} d{x^i}d{s^j}$$


Riemannian Manifold Great Circle Euclidean Plane Hyperbolic Plane North Pole 
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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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