Abstract
In this chapter, we start discussing representations that can be associated to three-dimensional shapes, where surfaces now replace curves. For this reason, we start with basic definitions and results on the theory of surfaces in ℝ3. Although some parts are redundant with the abstract discussion of submanifolds that is provided in Appendix B, we have chosen to provide a more elementary presentation here, very close to [64], to ensure that this important section can be read independently.
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Younes, L. (2010). Local Properties of Surfaces. In: Shapes and Diffeomorphisms. Applied Mathematical Sciences, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12055-8_4
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DOI: https://doi.org/10.1007/978-3-642-12055-8_4
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12054-1
Online ISBN: 978-3-642-12055-8
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