Mark Levi and Qiran Ren 2005 Nonlinearity 18 2737 doi:10.1088/0951-7715/18/6/017
Geodesics on vibrating surfaces and curvature of the normal family
Mark Levi and Qiran Ren
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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.
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Issue 6 (November 2005)
Received 27 February 2005, in final form 8 August 2005
Published 3 October 2005
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Geodesics on vibrating surfaces and curvature of the normal family
Mark Levi and Qiran Ren 2005 Nonlinearity 18 2737
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