Hamiltonian stability of Lagrangian tori in toric Kähler manifolds
type: Item
instance of: scholarly article
title: Hamiltonian stability of Lagrangian tori in toric Kähler manifolds
zbMATH Open document ID: 1122.53036
author: Hajime Ono
published in: Annals of Global Analysis and Geometry
publication date: 2007-06-14T00:00:00Z
review text: The author derives a necessary and sufficient condition for Hamiltonian stability of a regular \(T^n\)-orbit of a compact \(n\)-dimensional toric Kähler manifold. Using this he shows that any regular \(T^n\)-orbit of the complex projective space endowed with the Fubini-Study metric is a locally Hamiltonian volume minimizing Lagrangian submanifold.
reviewed by: Jacobo Pejsachowicz
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 5164783
zbMATH Keywords: Lagrangian submanifold
zbMATH Keywords: toric Kähler manifold
zbMATH Keywords: Hamiltonian stability
MaRDI profile type: Publication
full work available at URL: s10455-006-9037-5
OpenAlex ID: W2014562984
cites work: Q4407722
cites work: Calibrated fibrations on noncompact manifolds via group actions
cites work: Kaehler structures on toric varieties
cites work: Integral geometry and Hamiltonian volume minimizing property of a totally geodesic Lagrangian torus in \(S^ 2\times S^ 2\).
cites work: Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
cites work: Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
DOI: 10.1007/S10455-006-9037-5
description: scientific article; zbMATH DE number 5164783