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Huygens’ Principle in the Theory of Wave Propagation

  • Vladimir I. Arnold
Part of the Universitext book series (UTX)

Abstract

We consider space-time M n+1 = B n x ℝ, where B n is “physical space,” and R is the “time axis.” (Most of what follows carries over word for word to the case of the bundle M n+1 → ℝ over the time axis, and a great deal of it also carries over to the case when the role of time is played by a fibration into “isochrones” or even the zeros of a nonclosed differential form “dt” on M.)

Keywords

Tangent Plane Contact Structure Contact Element Integral Manifold Instantaneous Front 
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-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Vladimir I. Arnold
    • 1
    • 2
  1. 1.Steklov Mathematical InstituteMoscowRussia
  2. 2.CEREMADEUniversité de Paris-DauphineParis Cedex 16France

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