Abstract
In this chapter we specialize the general leg calculus of. Chapter IV to the study of the intrinsic and extrinsic geometry of surfaces and curves when our Riemannian 3-space V3 is restricted to be an Euclidean 3-space E3. We will call this geometry Gaussian differential geometry, even though it includes many results obtained earlier by Euler, Monge, and Meusnier. The terminology is justified since the Gaussian viewpoint incorporated these often fragmentary, but beautiful, results in a new and unified light that was only dimly suspected by these workers.
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© 1994 Springer-Verlag Berlin Heidelberg
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Zund, J. (1994). Gaussian Differential Geometry. In: Foundations of Differential Geodesy. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79187-1_5
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DOI: https://doi.org/10.1007/978-3-642-79187-1_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-79189-5
Online ISBN: 978-3-642-79187-1
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