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Special Lagrangian cones

Publication ,  Journal Article
Haskins, M
Published in: American Journal of Mathematics
January 1, 2004

We study special Lagrangian cones in ℂn with isolated singularities especially the case n = 3. Our main result constructs an infinite family of special Lagrangian cones in ℂ3 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 ℂ3 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.

Duke Scholars

Published In

American Journal of Mathematics

DOI

ISSN

0002-9327

Publication Date

January 1, 2004

Volume

126

Issue

4

Start / End Page

845 / 871

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Haskins, M. (2004). Special Lagrangian cones. American Journal of Mathematics, 126(4), 845–871. https://doi.org/10.1353/ajm.2004.0029
Haskins, M. “Special Lagrangian cones.” American Journal of Mathematics 126, no. 4 (January 1, 2004): 845–71. https://doi.org/10.1353/ajm.2004.0029.
Haskins M. Special Lagrangian cones. American Journal of Mathematics. 2004 Jan 1;126(4):845–71.
Haskins, M. “Special Lagrangian cones.” American Journal of Mathematics, vol. 126, no. 4, Jan. 2004, pp. 845–71. Scopus, doi:10.1353/ajm.2004.0029.
Haskins M. Special Lagrangian cones. American Journal of Mathematics. 2004 Jan 1;126(4):845–871.
Journal cover image

Published In

American Journal of Mathematics

DOI

ISSN

0002-9327

Publication Date

January 1, 2004

Volume

126

Issue

4

Start / End Page

845 / 871

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics