TRANSLATING SOLITONS TO SYMPLECTIC AND LAGRANGIAN MEAN CURVATURE FLOWS

DOI10.1142/S0129167X09005352zbMath1171.53330arXiv0711.4435MaRDI QIDQ3632272

Jiayu Li, Xiao Li Han

Publication date: 23 June 2009

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4435

zbMATH Keywords

mean curvature flowLagrangian surfacesymplectic surfacetranslating slotion

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Mean Curvature Flow in Higher Codimension: Introduction and Survey, Symplectic mean curvature flow in \(\mathbb CP^{2}\), Rigidity of symplectic translating solitons, Translating solitons of mean curvature flow of noncompact submanifolds, Translating solitons to symplectic mean curvature flows, Mean curvature decay in symplectic and Lagrangian translating solitons, Symplectic mean curvature flows in Kähler surfaces with positive holomorphic sectional curvatures, TRANSLATING SOLITONS FOR LAGRANGIAN MEAN CURVATURE FLOW IN COMPLEX EUCLIDEAN PLANE, Symplectic critical surfaces in Kähler surfaces, The second type singularities of symplectic and Lagrangian mean curvature flows, Lagrangian \(L\)-stability of Lagrangian translating solitons, Rigidity results on Lagrangian and symplectic translating solitons

Cites Work

• Unnamed Item
• The Harnack estimate for the Ricci flow
• Eternal solutions to the Ricci flow
• Singularities of Lagrangian mean curvature flow: zero-Maslov class case
• Calibrated geometries
• Mean curvature flow singularities for mean convex surfaces
• Harnack inequality for the Lagrangian mean curvature flow
• Minimal surfaces in Riemannian 4-manifolds
• Mean curvature flow of surfaces in Einstein four-manifolds.
• Angle theorems for the Lagrangian mean curvature flow
• Singularity of mean curvature flow of Lagrangian submanifolds
• Harnack estimate for the mean curvature flow
• Construction of Lagrangian self-similar solutions to the mean curvature flow in \(\mathbb C^n\)
• Minimal Surfaces by Moving Frames
• Differential equations on riemannian manifolds and their geometric applications
• Moving symplectic curves in Kähler-Einstein surfaces
• Mean curvature flow of surface in 4-manifolds