On the subset of normality equations describing generalized Legendre transformation

Details On the subset of normality equations describing generalized Legendre transformation On the subset of normality equations describing generalized Legendre transformation

2002-12-04

arxiv.org/abs/math/0212059v1

Mathematics

Differential Geometry

AmSTeX, 19 pages, amsppt style, 2 figures in 1 gif-file

Scientific paper

Normality 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.

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