Abstract
One of the main goals of differential geometry consists in finding an effective and meaningful way of measuring the curvature of non-flat objects (curves and surfaces). For curves we have seen that it is sufficient to measure the changes in tangent versors: in the case of surface things are, understandably, more complicated. The first obvious problem is that a surface can curve differently in different directions; so we need a measure of curvature related to tangent directions, that is, a way of measuring the variation of tangent planes.
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© 2012 Springer-Verlag Italia
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Abate, M., Tovena, F. (2012). Curvatures. In: Curves and Surfaces. UNITEXT(). Springer, Milano. https://doi.org/10.1007/978-88-470-1941-6_4
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DOI: https://doi.org/10.1007/978-88-470-1941-6_4
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-1940-9
Online ISBN: 978-88-470-1941-6
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