Classical Surface Theory, the Theorema Egregium of Gauss, and Differential Geometry on Manifolds

Eberhard Zeidler
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Eberhard Zeidler: Max-Planck-Institut für Mathematik in den Naturwissenschaften

Chapter Chapter 74 in Nonlinear Functional Analysis and its Applications, 1988, pp 609-693 from Springer

Abstract: Abstract In this and the following two chapters we consider three central applications of the theory of manifolds: (i) Classical surface theory of Gauss. (ii) Riemannian and affine connected manifolds. (iii) Einstein’s general theory of relativity (1916).

Keywords: Riemannian Manifold; Fundamental Form; Tensor Field; Parallel Transport; Christoffel Symbol (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-4566-7_18

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DOI: 10.1007/978-1-4612-4566-7_18

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