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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 175, Number 2, Pages 147–158
DOI: https://doi.org/10.4213/tmf8444 (Mi tmf8444) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Pseudotoric structures on toric symplectic manifolds

S. A. Belyova, N. A. Tyurinabc

a Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
b Higher School of Economics, Moscow, Russia
c University of Railroad Engineering (MIIT), Moscow, Russia
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DOI: https://doi.org/10.4213/tmf8444
Abstract: We prove the existence of a rank-one pseudotoric structure on an arbitrary smooth toric symplectic manifold. As a consequence, we propose a method for constructing Chekanov-type nonstandard Lagrangian tori on arbitrary toric manifolds.
Keywords: symplectic manifold, toric manifold, pseudotoric structure, Lagrangian submanifold.
Received: 22.11.2012
English version:
Theoretical and Mathematical Physics, 2013, Volume 175, Issue 2, Pages 571–579
DOI: https://doi.org/10.1007/s11232-013-0046-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Belyov, N. A. Tyurin, “Pseudotoric structures on toric symplectic manifolds”, TMF, 175:2 (2013), 147–158; Theoret. and Math. Phys., 175:2 (2013), 571–579
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    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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