Uniqueness results for special Lagrangians and Lagrangian mean curvature flow expanders in \(\mathbb{C}^m\)

DOI10.1215/00127094-3167275zbMath1341.53115arXiv1404.0271OpenAlexW1762427185MaRDI QIDQ283529

Joana Oliveira Dos Santos, Yohsuke Imagi, Dominic David Joyce

Publication date: 13 May 2016

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.0271

zbMATH Keywords

Calabi-Yau manifoldasymptotically conical LagrangianFukaya categoryLagrangian Floer cohomologyLagrangian MCF expanderLagrangian mean curvature flowLawlor neckspecial Lagrangian

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40) Calibrations and calibrated geometries (53C38)

Related Items

Uniqueness of asymptotically conical higher codimension self-shrinkers and self-expanders, The branched deformations of the special Lagrangian submanifolds, Complete Lagrangian self-expanders in \(\mathbb{C}^2\), Generalized Thomas-Yau uniqueness theorems, Calibrated Submanifolds, Ancient solutions in Lagrangian mean curvature flow, On short time existence of Lagrangian mean curvature flow, Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics, Self-expanders of the mean curvature flow, Mean curvature flow of asymptotically conical Lagrangian submanifolds, On the gluing construction of translating solitons to Lagrangian mean curvature flow

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