Work

Examples of Hamiltonian-minimal Lagrangian submanifolds in $\operatorname{Gr}(r, n)$

Year: 2025

Type: article

Abstract: We extend the A. E. Mironov's construction of (Hamiltonian)-minimal Lagrangian submanifolds to the case of an algebraic manifold that can be equipped with a Kahler-Einstein metric symmetric under the action of the torus $T^k$. As an application, we give examples of Hamiltonian-minimal Lagrangian submanifolds of the Grassmannian $\operatorname{Gr}(r, n)$.

Source: Izvestiya Mathematics

DOI: 10.4213/im9599e

Author: Nikolai Andreevich Tyurin

Institutions: National Research University Higher School of Economics, Joint Institute for Nuclear Research

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Research University Higher School of Economics

OpenAlex ID: W4410373331

FWCI: 5.593

Cites: 8

Cited by: 3

Related to: 10