arXiv Analytics

Sign in

arXiv:math/0207144 [math.DG]AbstractReferencesReviewsResources

Deformations of Asymptotically Conical Special Lagrangian Submanifolds

T. Pacini

Published 2002-07-17, updated 2003-10-19Version 2

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".

Comments: 38 pages. Several modifications, new references. To appear in Pacific J. Math
Categories: math.DG, math.AP
Subjects: 53C38, 58J05
Related articles: Most relevant | Search more
arXiv:math/0610532 [math.DG] (Published 2006-10-17)
SU(3)-structures and Special Lagrangian Geometries
arXiv:2307.06227 [math.DG] (Published 2023-07-12)
New examples of Z/2 harmonic 1-forms and their deformations
arXiv:math/0110052 [math.DG] (Published 2001-10-04, updated 2002-01-10)
Deformations of minimal Lagrangian submanifolds with boundary