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Примеры гамильтоново-минимальных лагранжевых подмногообразий в Gr(r,n)
Известия РАН. Серия математическая. 2025. Т. 89. № 2. С. 146–160.
Tyurin N. A.
In the paper one presents a generalization of A. E. Mironov construction of Hamiltonian minimal and minimal lagrangian submanifolds to the case of an algebraic variety which admits a Kahler–Einstein metric, symmetric with respect to a toric action of Tk. As an application one presents examples of Hamiltonian minimal lagrangian submanifolds in the Grassmanian Gr(r,n).
Keywords: алгебраическое многообразиеLagrangian submanifoldграссманиан Grassmanianдействие тораToric action algebraic varietyHamiltonian minimalityгамильтонова минимальность
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