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Singularities of Parallels for Hyperbolic Plane Curves

Author: YuZuo
Tutor: PeiDongHe
School: Northeast Normal University
Course: Basic mathematics
Keywords: parallel hyperbolic height function versal unfolding hyperbolic plane curve
CLC: O186
Type: Master's thesis
Year: 2009
Downloads: 35
Quote: 0
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Abstract


In this paper,we introduce the notion and the properties of the hyperbolic height function and establish the relationships between the singularities induced from the hyperbolic height function and geometric invariants of the hyperbolic plane curve.A hyperbolic plane curve’s parallels are defined and the singularities of the parallels are also given in R13.

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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Differential geometry,integral geometry
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