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 …

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 …

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 …

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 …

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 …

Special Lagrangian submanifolds with isolated conical singularities. III. Desingularization, the unobstructed case

D Joyce - Annals of Global Analysis and Geometry, 2004 - Springer
This is the third 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 …

SU (3)-structures and special lagrangian geometries

F Xu - arXiv preprint math/0610532, 2006 - arxiv.org
We generalize Calabi-Yau 3-folds from the special Lagrangian perspective. More precisely,
we study SU (3)-structures which admit as" nice" a local special Lagrangian geometry as the …

U (1)-invariant special Lagrangian 3-folds in {\mathbb C}^ 3 and special Lagrangian fibrations

D Joyce - Turkish Journal of Mathematics, 2003 - journals.tubitak.gov.tr
This is a survey of the author's series of three papers [8, 9, 10] on special Lagrangian 3-folds
(SL 3-folds) in {\mathbb C}^ 3 invariant under the U (1)-action (z_1, z_2, z_3) e^{i\theta} z_1 …

[图书][B] Connected sums of special Lagrangian submanifolds

DA Lee - 2005 - search.proquest.com
CONNECTED SUMS OF SPECIAL LAGRANGIAN SUBMANIFOLDS A DISSERTATION
SUBMITTED TO THE DEPARTMENT OF MATHEMATICS AND THE COMMITTEE ON Page 1 …