Hyperbolic Variables on Lorentz Surfaces

Part of the Frontiers in Mathematics book series (FM)


In this chapter we start from two fundamental memoirs of Gauss [39] and Beltrami [3] on complex variables on surfaces described by a definite quadratic form. By using the functions of a hyperbolic variable, we extend the results of the classic authors to surfaces in space-times described by non-definite quadratic forms.


Quadratic Form Complex Variable Conformal Mapping Line Element Euclidean Plane 
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© Birkhäuser Verlag AG 2008

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