Special Lagrangian cones with higher genus links

• 成果类型: Article
• 署名作者: Haskins, Mark; Kapouleas, Nikolaos
• 署名单位: Imperial College London; Brown University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-006-0010-5
• 发表日期: 2007
• 页码: 223-294
• 关键词: mean-curvature surfaces; isolated conical singularities; submanifolds

摘要

For every odd natural number g = 2d + 1 we prove the existence of a countably infinite family of special Lagrangian cones in C-3 over a closed Riemann surface of genus g, using a geometric PDE gluing method.