Gauss and Intrinsic Differential Geometry

Raymond O. Wells ()
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Raymond O. Wells: University of Colorado Boulder

Chapter Chapter 4 in Differential and Complex Geometry: Origins, Abstractions and Embeddings, 2017, pp 49-58 from Springer

Abstract: Abstract In the 1820s Gauss showed how one can do fundamental geometry on a two-dimensional surface independent of how the surface might be contained in an ambient space. This involved formulating a metric on the surface and a way of measuring angles, curvature, and other geometric objects in an intrinsic way on the surface. It formed the basis for what became the discipline of di erential geometry in the twentieth century.

Keywords: Intrinsic Differential Geometry; The Curvature; Ofcurvature; Significant Work Experience; Latin Longus (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/978-3-319-58184-2_4

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