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Local Lensing Geometry

  • Arlie O. Petters
  • Harold Levine
  • Joachim Wambsganss
Chapter
Part of the Progress in Mathematical Physics book series (PMP, volume 21)

Abstract

We showed in Chapter 8 that the critical points of a generic k-plane lensing map are either folds or cusps. The current chapter discusses in detail the qualitative features of k-plane lensing maps near fold and cusp critical points, including quantitative results for the single and double-plane cases. This is followed by a study of the local geometry of caustics under 1-parameter evolutions. These results bear on Problem M3, which includes a characterization of the local properties of critical curves and caustics in gravitational lensing.

Keywords

Point Mass Positive Parity Negative Parity Critical Curve Local Convexity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Arlie O. Petters
    • 1
  • Harold Levine
    • 2
  • Joachim Wambsganss
    • 3
  1. 1.Department of MathematicsDuke UniversityDurhamUSA
  2. 2.Department of MathematicsBrandeis UniversityWalthamUSA
  3. 3.Astrophysikalisches Institut PotsdamUniversität PotsdamPotsdamGermany

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