On the subset of normality equations describing generalized Legendre transformation

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dc.creatorSharipov, Ruslan
dc.date2002-12-04
dc.date.accessioned2026-07-07T04:53:31Z
dc.date.available2026-07-07T04:53:31Z
dc.descriptionNormality equations describe Newtonian dynamical systems admitting normal shift of hypersurfaces. They were first derived in Euclidean geometry, then in Riemannian geometry. Recently they were rederived in more general case, when geometry of manifold is given by generalized Legendre transformation. As appears, in this case some part of normality equations describe generalized Legendre transformation itself irrespective to that Newtonian dynamical system, for which others are written. In present paper this smaller part of normality equations is studied.
dc.descriptionAmSTeX, 19 pages, amsppt style, 2 figures in 1 gif-file
dc.identifierhttps://arxiv.org/abs/math/0212059
dc.identifierhttp://arxiv.org/abs/math/0212059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65882
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53D50; 70G10; 70G45
dc.titleOn the subset of normality equations describing generalized Legendre transformation
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