*Lines of Curvature

John Snygg ()

Chapter Chapter 10 in A New Approach to Differential Geometry using Clifford's Geometric Algebra, 2012, pp 347-373 from Springer

Abstract: Abstract In this section, I will discuss lines of curvature. A curve x(t) is said to be a line of curvature if 10.1 $$\frac{\mathrm{d}\mathbf{x}(t)} {\mathrm{d}t} = \mathbf{v}(t)\text{, where}$$

Keywords: Intrinsic Observables; Coordinate Curves; Principal Curvatures; Orthogonal Surface Coordinates; Saddle Surface (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8283-5_10

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