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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Multidimensional generalizations of Jacobi's envelope theorem
Yu. S. Osipova, M. I. Zelikinb a Presidium of the Russian Academy of Sciences, Moscow, Russia
b Department of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow, Russia
Аннотация:
In the paper, the extension of a field of geodesics $\wp$ on a manifold $N$ isometrically embedded in a Riemannian manifold $M$ is considered. The symplectic involute of the manifold N along the field $\wp$ is defined and a theorem is proved which gives a multidimensional analog of Jacobi's envelope theorem.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rjmph14
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