Abstract
Detailed treatment of this subject belongs to the domain of differential geometry which is an independent mathematical discipline and treated in numerous textbook, among others [1,2,3,4,5]. In what follows we barrow a few items from the differential geometry, which are directly related to the tensor analysis. We start with the differential geometry of two dimensional also called planar curves, define their different forms of representations, their curvatures and will move on to differential geometry of surfaces and their characteristics. A section about geodesics concludes the chapter.
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Schobeiri, M.T. (2021). Curves, Curvature, Surfaces, Geodesics. In: Tensor Analysis for Engineers and Physicists - With Application to Continuum Mechanics, Turbulence, and Einstein’s Special and General Theory of Relativity . Springer, Cham. https://doi.org/10.1007/978-3-030-35736-8_8
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DOI: https://doi.org/10.1007/978-3-030-35736-8_8
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