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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 2, Pages 321–325
DOI: https://doi.org/10.4213/tmf6911 (Mi tmf6911) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Nonstandard Lagrangian tori and pseudotoric structures

N. A. Tyurinabc

a Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
b Higher School of Economics, Moscow, Russia
c Moscow State University of Railway Engineering (MIIT), Moscow, Russia
Full-text PDF (343 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf6911
Abstract: We show that exotic Lagrangian tori constructed by Chekanov and Schlenk can be obtained for a large class of toric manifolds. For this, we translate their original construction into the language of pseudotoric structures. As an example, we construct exotic Lagrangian tori on a del Pezzo surface of degree six.
Keywords: Lagrangian torus, exotic torus, Chekanov torus, pseudotoric structure.
Received: 05.05.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 2, Pages 700–703
DOI: https://doi.org/10.1007/s11232-012-0067-9
Bibliographic databases:
Language: Russian
Citation: N. A. Tyurin, “Nonstandard Lagrangian tori and pseudotoric structures”, TMF, 171:2 (2012), 321–325; Theoret. and Math. Phys., 171:2 (2012), 700–703
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6911
  • https://doi.org/10.4213/tmf6911
  • https://www.mathnet.ru/eng/tmf/v171/i2/p321
    • This publication is cited in the following 5 articles:
    1. N. A. Tyurin, “Pseudotoric structures: Lagrangian submanifolds and Lagrangian fibrations”, Russian Math. Surveys, 72:3 (2017), 513–546  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    2. R. A. El-Nabulsi, “Fractional Functional with two Occurrences of Integrals and Asymptotic Optimal Change of Drift in the Black-Scholes Model”, Acta Math Vietnam, 40:4 (2015), 689  crossref
    3. El-Nabulsi R.A., “Fractional Oscillators From Non-Standard Lagrangians and Time-Dependent Fractional Exponent”, Comput. Appl. Math., 33:1 (2014), 163–179  crossref  mathscinet  zmath  isi  elib  scopus
    4. S. A. Belyov, N. A. Tyurin, “Pseudotoric structures on toric symplectic manifolds”, Theoret. and Math. Phys., 175:2 (2013), 571–579  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    5. El-Nabulsi R.A., “Non-Standard Fractional Lagrangians”, Nonlinear Dyn., 74:1-2 (2013), 381–394  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:78
    First page:25
     
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