Deformations of Asymptotically Conical Special Lagrangian Submanifolds

2002/07/17 by Tommaso Pacini, T. Pacini, Pacini, T.
Mathematics · #53C38 #58J05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Point processes and geometric inequalities #math.AP #math.DG #msc:53C38 #msc:58J05

paper · pdf · doi:10.48550/arxiv.math/0207144

38 pages. Several modifications, new references. To appear in Pacific J. Math

openalex publication_date 2002/07/17 · arxiv created 2003/10/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

McLean studied the deformations of compact special Lagrangian submanifolds, showing in particular that they come in moduli spaces whose dimension depends only on the topology of the submanifold. In this article we study the analogous problem for non-compact, "asymptotically conical" SL submanifolds, with respect to various "boundary conditions at infinity".

Citations

• The mass of an asymptotically flat manifold
• Calibrated geometries

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