Special Lagrangian m-folds in ℂm with symmetries

D Joyce - 2002 - projecteuclid.org
This the first in a series of papers on special Lagrangian submanifolds in ℂ m. We study
special Lagrangian submanifolds in ℂ m with large symmetry groups, and we give a number …

Constructing special Lagrangian m-folds in C^ m by evolving quadrics

D Joyce - arXiv preprint math/0008155, 2000 - arxiv.org
This is the second in a series of papers constructing explicit examples of special Lagrangian
submanifolds in C^ m. The first paper was math. DG/0008021, which studied special …

Lectures on special Lagrangian geometry

D Joyce - arXiv preprint math/0111111, 2001 - arxiv.org
We introduce special Lagrangian submanifolds in C^ m and in (almost) Calabi-Yau
manifolds, and survey recent results on singularities of special Lagrangian submanifolds …

Lectures on Calabi-Yau and special Lagrangian geometry

D Joyce - arXiv preprint math/0108088, 2001 - arxiv.org
This paper gives a leisurely introduction to Calabi-Yau manifolds and special Lagrangian
submanifolds from the differential geometric point of view, followed by a survey of recent …

Special Lagrangian submanifolds with isolated conical singularities. V. Survey and applications

D Joyce - Journal of Differential Geometry, 2003 - projecteuclid.org
This is the last in a series of five papers studying compact special Lagrangian submanifolds
(SL m-folds) X in (almost) Calabi-Yau m-folds M with singularities x1,..., xn locally modelled …

Evolution equations for special Lagrangian 3-folds in C3

DD Joyce - Annals of Global Analysis and Geometry, 2001 - Springer
This is the third in a series of papers constructing explicit examples of special Lagrangian
submanifolds in C m. The previous paper (Math. Ann. 320 (2001), 757–797), defined the …

Special Lagrangian submanifolds with isolated conical singularities. II. Moduli spaces

D Joyce - Annals of Global Analysis and Geometry, 2004 - Springer
This is the second in a series of five papers studying special Lagrangiansubmanifolds (SLV
m-folds) X in (almost) Calabi–Yau m-folds M with singularities x 1,..., xn locally modelled on …

Embedded special Lagrangian submanifolds in Calabi-Yau manifolds

YI Lee - Communications in Analysis and Geometry, 2003 - intlpress.com
A Calabi-Yau manifold is a Kähler manifold with trivial canonical line bundle. It is proved by
ST Yau [24] that in a Calabi-Yau manifold there exists a unique Ricci flat metric in its Kähler …

Lectures on special Lagrangian submanifolds

N Hitchin - arXiv preprint math/9907034, 1999 - arxiv.org
These notes consist of a study of special Lagrangian submanifolds of Calabi-Yau manifolds
and their moduli spaces. The particular case of three dimensions, important in string theory …

Special Lagrangian submanifolds with isolated conical singularities. IV. Desingularization, obstructions and families

D Joyce - Annals of Global Analysis and Geometry, 2004 - Springer
This is the fourth in a series of five papers studying special Lagrangian submanifolds (SLV m-
folds) X in (almost) Calabi–Yau m-folds M with singularities x 1,..., xn locally modelled on …