Geodesics on vibrating surfaces and curvature of the normal family

Mark Levi, Qiran Ren

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this note we study the motion of a particle confined to a moving surface, in other words, the geodesic motion where the surface is allowed to vary. We show that in the case of a rapidly vibrating surface, the differential geometry of a certain family of normal curves plays a role. Certain curvature terms appear in the averaged equations of motion.

Original languageEnglish (US)
Pages (from-to)2737-2743
Number of pages7
JournalNonlinearity
Volume18
Issue number6
DOIs
StatePublished - Nov 1 2005

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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