Geodesics on vibrating surfaces and curvature of the normal family

Mark Levi, Qiran Ren

Research output: Contribution to journalArticle

4 Citations (Scopus)

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

Fingerprint

Normal Family
Geodesic
Curvature
curvature
differential geometry
Motion
Differential Geometry
Equations of motion
Equations of Motion
equations of motion
Vary
Curve
Geometry
curves
Term

All Science Journal Classification (ASJC) codes

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

Cite this

Levi, Mark ; Ren, Qiran. / Geodesics on vibrating surfaces and curvature of the normal family. In: Nonlinearity. 2005 ; Vol. 18, No. 6. pp. 2737-2743.
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Geodesics on vibrating surfaces and curvature of the normal family. / Levi, Mark; Ren, Qiran.

In: Nonlinearity, Vol. 18, No. 6, 01.11.2005, p. 2737-2743.

Research output: Contribution to journalArticle

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