V-representation for normality equations in geometry of generalized Legendre transformation

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dc.creatorSharipov, Ruslan
dc.date2002-10-15
dc.date.accessioned2026-07-07T04:51:56Z
dc.date.available2026-07-07T04:51:56Z
dc.descriptionNormality equations describe Newtonian dynamical systems admitting normal shift of hypersurfaces. These equations were first derived in Euclidean geometry. Then very soon they were rederived in Riemannian and in Finslerian geometry. Recently I have found that normality equations can be derived in geometry given by classical and/or generalized Legendre transformation. However, in this case they appear to be written in p-representation, i. e. in terms of momentum covector and its components. The goal of present paper is to transform normality equations back to v-representation, which is more natural for Newtonian dynamical systems.
dc.descriptionAmSTeX, 32 pages, amsppt style
dc.identifierhttps://arxiv.org/abs/math/0210216
dc.identifierhttp://arxiv.org/abs/math/0210216
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65290
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53D20; 70G45
dc.titleV-representation for normality equations in geometry of generalized Legendre transformation
dc.typetext

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