RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Izv. RAN. Ser. Mat.: Year: Volume: Issue: Page: Find

 Izv. Akad. Nauk SSSR Ser. Mat., 1991, Volume 55, Issue 2, Pages 367–383 (Mi izv1014)

Nonselfintersecting closed extremals of multivalued or not everywhere positive functionals

I. A. Taimanov

Abstract: 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.

Full text: PDF file (6502 kB)
References: PDF file   HTML file

English version:
Mathematics of the USSR-Izvestiya, 1992, 38:2, 359–374

Bibliographic databases:

UDC: 513.835
MSC: Primary 58E05, 58F05, 49J24; Secondary 58E30, 78A35

Citation: I. A. Taimanov, “Nonselfintersecting closed extremals of multivalued or not everywhere positive functionals”, Izv. Akad. Nauk SSSR Ser. Mat., 55:2 (1991), 367–383; Math. USSR-Izv., 38:2 (1992), 359–374

Citation in format AMSBIB
\Bibitem{Tai91} \by I.~A.~Taimanov \paper Nonselfintersecting closed extremals of multivalued or not everywhere positive functionals \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1991 \vol 55 \issue 2 \pages 367--383 \mathnet{http://mi.mathnet.ru/izv1014} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1133303} \zmath{https://zbmath.org/?q=an:0742.58010} \adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..38..359T} \transl \jour Math. USSR-Izv. \yr 1992 \vol 38 \issue 2 \pages 359--374 \crossref{https://doi.org/10.1070/IM1992v038n02ABEH002203} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1992HR86300007} 

• http://mi.mathnet.ru/eng/izv1014
• http://mi.mathnet.ru/eng/izv/v55/i2/p367

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. I. A. Taimanov, “Closed extremals on two-dimensional manifolds”, Russian Math. Surveys, 47:2 (1992), 163–211
2. E. I. Yakovlev, “Bundles and Geometric Structures Associated With Gyroscopic Systems”, Journal of Mathematical Sciences, 153:6 (2008), 828–855
3. I. A. Taimanov, “The type numbers of closed geodesics”, Reg Chaot Dyn, 15:1 (2010), 84
4. I. A. Taimanov, “Periodic magnetic geodesics on almost every energy level via variational methods”, Reg Chaot Dyn, 2010
5. I. A. Taimanov, “Periodic magnetic geodesics on almost every energy level via variational methods”, Reg Chaot Dyn, 15:4-5 (2010), 598
6. STEFAN SUHR, “A COUNTEREXAMPLE TO GUILLEMIN'S ZOLLFREI CONJECTURE”, J. Topol. Anal, 2013, 1
7. Luca Asselle, Gabriele Benedetti, “Infinitely many periodic orbits in non-exact oscillating magnetic fields on surfaces with genus at least two for almost every low energy level”, Calc. Var, 2015
8. Iskander A. Taimanov, “On an Integrable Magnetic Geodesic Flow on the Two-torus”, Regul. Chaotic Dyn., 20:6 (2015), 667–678
9. Yu. A. Kordyukov, I. A. Taimanov, “Trace formula for the magnetic Laplacian”, Russian Math. Surveys, 74:2 (2019), 325–361
10. I. Yu. Polekhin, “Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces”, Nelineinaya dinam., 16:2 (2020), 343–353
•  Number of views: This page: 335 Full text: 102 References: 63 First page: 4