Examples of Hamiltonian-minimal Lagrangian submanifolds in $\operatorname{Gr}(r, n)$
- Authors: Tyurin N.A.1,2
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Affiliations:
- Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Dubna, Moscow Region
- National Research University Higher School of Economics, Moscow
- Issue: Vol 89, No 2 (2025)
- Pages: 146-160
- Section: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/303951
- DOI: https://doi.org/10.4213/im9599
- ID: 303951
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Abstract
We extend the A. E. Mironov's construction of (Hamiltonian)-minimal Lagrangian submanifolds tothe case of an algebraic manifold that can be equipped with a Kahler–Einstein metricsymmetric under the action of the torus $T^k$. As an application, we give examples of Hamiltonian-minimalLagrangian submanifolds of the Grassmannian $\operatorname{Gr}(r, n)$.
About the authors
Nikolai Andreevich Tyurin
Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Dubna, Moscow Region; National Research University Higher School of Economics, Moscow
Author for correspondence.
Email: bltp@thsun1.jinr.ru
Doctor of physico-mathematical sciences, Professor
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