Local non-collapsing of volume for the Lagrangian mean curvature flow

DOI10.1007/S00526-018-1458-ZzbMath1406.53076arXiv1801.07303OpenAlexW2963328422MaRDI QIDQ1633620

Knut Smoczyk

Publication date: 20 December 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07303

zbMATH Keywords

mean curvatureCalabi-Yau manifoldblowup singularitygrim reaper

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Lagrangian mean curvature flow of Whitney spheres

Cites Work

• Unnamed Item
• Unnamed Item
• Mean curvature decay in symplectic and Lagrangian translating solitons
• On the formation of singularities in the curve shortening flow
• Singularities of Lagrangian mean curvature flow: zero-Maslov class case
• On the topology of translating solitons of the mean curvature flow
• Self-similar solutions and translating solitons for Lagrangian mean curvature flow
• Mean curvature flow of surfaces in Einstein four-manifolds.
• Mean curvature flow of area decreasing maps between Riemann surfaces
• Rigidity results on Lagrangian and symplectic translating solitons
• Isometric immersions of Riemannian manifolds
• A Bernstein type theorem of ancient solutions to the mean curvature flow
• Translating solutions to Lagrangian mean curvature flow
• Maximum principles on Riemannian manifolds and applications

This page was built for publication: Local non-collapsing of volume for the Lagrangian mean curvature flow