Multidimensional generalizations of Jacobi’s envelope theorem
2012
In the paper, the extension of a field of geodesics ℘ on a manifold N isometrically embedded in a Riemannian manifoldM is considered. The symplectic involute of the manifold N along the field ℘ is defined and a theorem is proved which gives a multidimensional analog of Jacobi’s envelope theorem.
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