多值或非处处正泛函的非自交闭极值

Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI:10.1070/IM1992V038N02ABEH002203

I. Taimanov

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引用次数: 42

摘要

本文证明了Novikov和作者关于在2球同纯黎曼流形上带电粒子在强磁场中运动对应的单值泛函存在闭合非自交极值的定理，并证明了多值泛函的类似定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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NONSELFINTERSECTING CLOSED EXTREMALS OF MULTIVALUED OR NOT EVERYWHERE POSITIVE FUNCTIONALS

A proof is given for the theorem of Novikov and the author on the existence of a closed nonselfintersecting extremal for a single-valued functional corresponding to the motion of a charged particle in a strong magnetic field on a Riemannian manifold homeomorphic to the 2-sphere, and an analogue in the case of multivalued functionals is also proved.

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Mathematics of The Ussr-izvestiya

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