Some Extrinsic Geometry in E n

John Snygg ()

Chapter Chapter 7 in A New Approach to Differential Geometry using Clifford's Geometric Algebra, 2012, pp 227-298 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8283-5_7

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