On the Gluing Construction of Translating Solitons to Lagrangian Mean Curvature Flow

2020/11/16 by Wei-Bo Su, Su, Wei-Bo · 1 citation
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons #math.DG

paper · pdf · doi:10.48550/arxiv.2011.07882

29 pages, 4 figures

openalex publication_date 2020/11/16 · openalex created_date 2020/11/23 · arxiv created 2021/04/15 · arxiv updated 2021/04/16 · openalex updated_date 2026/07/28

Abstract

We construct Lagrangian translating solitons by desingularizing the intersection points between Lagrangian Grim Reaper cylinders with the same phase using special Lagrangian Lawlor necks. The resulting Lagrangian translating solitons could have arbitrarily many ends and non-contractible loops.

Citations

• Uniqueness results for special Lagrangians and Lagrangian mean curvature flow expanders in Cm
• Symplectic manifolds and their lagrangian submanifolds
• The angle criterion
• Calibrated geometries

Cited by

• Lagrangian Translating Solitons and Special Lagrangians in ℂ^m with Symmetries

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