Special Lagrangian cones

Mark Haskins

Research output: Contribution to journalArticlepeer-review

40 Citations (SciVal)

Abstract

We study special Lagrangian cones in ℂ n with isolated singularities especially the case n = 3. Our main result constructs an infinite family of special Lagrangian cones in ℂ 3 each of which has a toroidal link. We obtain a detailed geometric description of these tori. We prove a regularity result for special Lagrangian cones in ℂ 3 with a spherical link - any such cone must be a plane. We also construct a one-parameter family of asymptotically conical special Lagrangian submanifolds from any special Lagrangian cone.

Original languageEnglish
Pages (from-to)845-871
Number of pages27
JournalAmerican Journal of Mathematics
Volume126
Issue number4
DOIs
Publication statusPublished - Aug 2004

ASJC Scopus subject areas

  • Mathematics(all)

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