Constructing soliton solutions of geometric flows by separation of variables

2014/04/12 by Mu-Tao Wang, Mu‐Tao Wang, Wang, Mu-Tao
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Computer science #Curvature #Differential Geometry (math.DG) #FOS: Mathematics #Flow (mathematics) #Geometric Analysis and Curvature Flows #Geometric flow #Geometry #Geometry and complex manifolds #Lagrangian #Mathematical analysis #Mathematical physics #Mathematics #Mean curvature #Mean curvature flow #Nonlinear system #Partial differential equation #Physics #Quantum mechanics #Ricci flow #Scalar curvature #Section (typography) #Separation (statistics) #Separation of variables #Soliton #Statistics #math.DG

paper · pdf · doi:10.48550/arxiv.1404.3292

published in arXiv (Cornell University) (Cornell University) · Contribution to Special Issue(s) in the Bulletin of Institute of Mathematics, Academia Sinica (N.S.)

arxiv created 2014/04/12 · openalex publication_date 2014/04/12 · arxiv updated 2014/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

This note surveys and compares results on the separation of variables construction for soliton solutions of curvature equations including the Kähler-Ricci flow and the Lagrangian mean curvature flow. In the last section, we propose some new generalizations in the Lagrangian mean curvature flow case.

Citations

• Uniqueness results for special Lagrangians and Lagrangian mean curvature flow expanders in Cm
• Calibrated geometries

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