Curved Spaces

John Snygg ()

Chapter Chapter 5 in A New Approach to Differential Geometry using Clifford's Geometric Algebra, 2012, pp 121-179 from Springer

Abstract: Abstract The simplest example of a curved surface is the ordinary 2-dimensional sphere in Euclidean 3-space. Furthermore the geometry of the sphere serves a major motivation for much of the mathematical work that has been done for more general surfaces. For this reason it is useful to examine some basic results associated with the geometry of a sphere.

Keywords: Gaussian Curvature; Parallel Transport; Christoffel Symbol; Riemann Curvature Tensor; Spherical Triangle (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8283-5_5

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