NONSELFINTERSECTING CLOSED EXTREMALS OF MULTIVALUED OR NOT EVERYWHERE POSITIVE FUNCTIONALS
NONSELFINTERSECTING CLOSED EXTREMALS OF MULTIVALUED OR NOT EVERYWHERE POSITIVE FUNCTIONALS
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多值或并非处处正泛函的非自交闭极值
DOI：
10.1070/im1992v038n02abeh002203
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
I. Taimanov
中科院分区：
文献类型：
--
作者：
I. Taimanov
本文证明了Novikov和作者关于强磁场中带电粒子运动对应的单值泛函在同胚于2-球面的黎曼流形上存在闭非自相交极值的定理，并证明了多值泛函的类似定理.
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.