Mappings Between Surfaces

Garret Sobczyk
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Garret Sobczyk: Universidad de Las Américas, Departamento de Física y Matemáticas

Chapter Chapter 16 in New Foundations in Mathematics, 2013, pp 275-295 from Springer

Abstract: Abstract In this chapter we explore when a mapping will preserve geodesics, the shortest distances between two points on a surface, and when a mapping will preserve the angles between the intersection of two curves on the surface, known as conformal mappings. A conformal mapping of a pseudo-Euclidean space $${\mathbb{R}}^{p,q}$$ generalizes the idea of an analytic function in the two-dimensional theory of complex variables.

Keywords: Conformal Mapping; Affine Tensor; Constant Bivector; Intrinsic Coderivative; Conformal Weyl (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8385-6_16

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DOI: 10.1007/978-0-8176-8385-6_16

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