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Differential Geometry of Surfaces

  • Arlan Ramsay
  • Robert D. Richtmyer
Part of the Universitext book series (UTX)

Abstract

This chapter is intended to help the reader learn some of the concepts of differential geometry as they appear in terms of coordinates and also to move toward thinking of them in intrinsic terms (‘coordinate free’), which is the modern approach to differential geometry. Our primary interest is in the hyperbolic plane as a Riemannian manifold.

Keywords

Vector Field Tangent Vector Line Element Parallel Transport Hyperbolic Plane 
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 Science+Business Media New York 1995

Authors and Affiliations

  • Arlan Ramsay
    • 1
  • Robert D. Richtmyer
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoBoulderUSA

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