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Matematicheskie Zametki, 2020, Volume 108, Issue 1, Pages 119–129
DOI: https://doi.org/10.4213/mzm12475 (Mi mzm12475) 		 
On Hamiltonian Minimality of Isotropic Nonhomogeneous Tori in $\mathbb{H}^n$ and $\mathbb C\mathrm P^{2n+1}$

M. A. Ovcharenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.4213/mzm12475
Abstract: We construct a family of flat isotropic nonhomogeneous tori in $\mathbb{H}^n$ and $\mathbb{C}\mathrm{P}^{2n+1}$ and find necessary and sufficient conditions for their Hamiltonian minimality.
Keywords: isotropic submanifold, Hamiltonian-minimal submanifold.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-5913.2018.1
Russian Foundation for Basic Research 18-01-00411
This work was supported by the Presidential Program for the State Support of Leading Scientific Schools under grant NSh-5913.2018.1 and by the Russian Foundation for Basic Research under grant 18-01-00411.
Received: 11.11.2019
English version:
Mathematical Notes, 2020, Volume 108, Issue 1, Pages 108–116
DOI: https://doi.org/10.1134/S000143462007010X
Bibliographic databases:
Document Type: Article
UDC: 514.76
Language: Russian
Citation: M. A. Ovcharenko, “On Hamiltonian Minimality of Isotropic Nonhomogeneous Tori in $\mathbb{H}^n$ and $\mathbb C\mathrm P^{2n+1}$”, Mat. Zametki, 108:1 (2020), 119–129; Math. Notes, 108:1 (2020), 108–116
Citation in format AMSBIB
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