Distances on Surfaces and Knots

Michel Marie Deza and Elena Deza
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Michel Marie Deza: Ecole Normale Supérieure
Elena Deza: Moscow State Pedagogical University

Chapter Chapter 8 in Encyclopedia of Distances, 2014, pp 167-180 from Springer

Abstract: Abstract A surface is a real 2D (two-dimensional) manifold M 2, i.e., a Hausdorff space, each point of which has a neighborhood which is homeomorphic to a plane 𝔼 2 $$\mathbb{E}^{2}$$ , or a closed half-plane (cf. Chap. 7 ). A compact orientable surface is called closed if it has no boundary, and it is called a surface with boundary, otherwise.

Keywords: Riemann Surface; Line Element; Gaussian Curvature; Quadratic Differential; Rotation Surface (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-662-44342-2_8

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