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Some Extrinsic Geometry in En

  • John Snygg
Chapter

Abstract

A curve in E n is a one parameter mapping x(t) from some open interval in E1 to E n . Generally, a “curve”is considered a function so that a change in parameterization results in a “different curve”even though the path (or trace) remains the same.

Keywords

Gaussian Curvature Principal Curvature Shape Operator Frenet Frame Frenet Equation 
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.

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.East OrangeUSA

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