Surfaces from Gauß to Today

Marcel Berger ()
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Marcel Berger: Institut des Hautes Études Scientifiques IHES

Chapter 3 in A Panoramic View of Riemannian Geometry, 2003, pp 105-142 from Springer

Abstract: Abstract This theorem is baffling. Its Latin wording (“excellent theorem”) was forged by Gauß because he was so excited about it. Gauß studied surfaces for years before discovering this result. It is the kind of theorem which could have waited dozens of years more before being discovered by another mathematician since, unlike so much of intellectual history, it was absolutely not in the air.

Keywords: Parallel Transport; Compact Surface; Geodesic Curvature; Angle Correction; Injectivity Radius (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-642-18245-7_3

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