Lagrangian mean curvature flows and moment maps

DOI10.1007/s10711-018-0331-8zbMath1420.53075arXiv1703.00090OpenAlexW2591850683MaRDI QIDQ1737574

Hiroshi Konno

Publication date: 23 April 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00090

zbMATH Keywords

translating solitonsLagrangian self-shrinkersnon-flat Calabi-Yau manifoldsRicci-flat ALE spaces

Mathematics Subject Classification ID

Related Items (1)

A construction of special Lagrangian submanifolds by generalized perpendicular symmetries

Cites Work

• Weighted Hamiltonian stationary Lagrangian submanifolds and generalized Lagrangian mean curvature flows in toric almost Calabi-Yau manifolds
• Asymptotic behavior for singularities of the mean curvature flow
• Self-similar solutions and translating solitons for Lagrangian mean curvature flow
• Hamiltonian stationary shrinkers and expanders for Lagrangian mean curvature flows
• Calibrated geometries
• The construction of ALE spaces as hyper-Kähler quotients
• Special Lagrangians, stable bundles and mean curvature flow
• Special Lagrangian \(m\)-folds in \(\mathbb{C}^m\) with symmetries
• Mirror symmetry is \(T\)-duality
• Conjectures on Bridgeland stability for Fukaya categories of Calabi-Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow
• Construction of Lagrangian self-similar solutions to the mean curvature flow in \(\mathbb C^n\)
• Generalized Lagrangian mean curvature flow in Kähler manifolds that are almost Einstein
• The Geometry of Toric Hyperk\"ahler Varieties
• Hamiltonian stationary cones and self-similar solutions in higher dimension
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• TRANSLATING SOLITONS FOR LAGRANGIAN MEAN CURVATURE FLOW IN COMPLEX EUCLIDEAN PLANE
• The geometry and topology of toric hyperkähler manifolds

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