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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 2, Pages 457–465
DOI: https://doi.org/10.33048/smzh.2021.62.216 (Mi smj7568) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Examples of Mironov cycles in Grassmannians

N. A. Tyurinab

a Joint Institute for Nuclear Research, Dubna, Russia
b Mathematical Center of the Kazan (Volga Region) Federal Region, Kazan, Russia
Full-text PDF (443 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2021.62.216
Abstract: Providing some examples of Lagrangian cycles that arise as a generalization of Mironov's construction to the case of Grassmann manifolds $\operatorname{Gr}_{{\Bbb C}}(k, n+1)$, we show that these manifolds enjoy all data necessary for this generalization, the natural real structure, and an incomplete toric action. We also provide new concrete examples.
Keywords: Grassmann manifold, Kähler form, Lagrangian submanifold, toric action.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1478
The work was carried out as a part of the program of the Mathematical Center of the Kazan (Volga Region) Federal Region (Agreement No. 075–02–2020–1478).
Received: 03.09.2020
Revised: 09.12.2020
Accepted: 22.01.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 2, Pages 370–376
DOI: https://doi.org/10.1134/S0037446621020166
Bibliographic databases:
Document Type: Article
UDC: 514.763.424+514.763.337
MSC: 35R30
Language: Russian
Citation: N. A. Tyurin, “Examples of Mironov cycles in Grassmannians”, Sibirsk. Mat. Zh., 62:2 (2021), 457–465; Siberian Math. J., 62:2 (2021), 370–376
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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