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 …

We study special Lagrangian cones in [inline-graphic xmlns: xlink=" http://www. w3.
org/1999/xlink" xlink: href=" 01i"/] with isolated singularities especially the case n= 3. Our …

We prove a number of results on the geometric complexity of special Lagrangian (SLG) T 2-
cones in ℂ 3. Every SLG T 2-cone has a fundamental integer invariant, its spectral curve …

Special Lagrangian cones with higher genus links Page 1 DOI: 10.1007/s00222-006-0010-5
Invent. math. 167, 223–294 (2007) Special Lagrangian cones with higher genus links Mark …

One purpose of this article is to draw attention to the seminal work of J. Mealy in 1989 on
calibrations in semi-riemannian geometry where split SLAG geometry was first introduced …

Suppose $ M_ {1} $ and $ M_ {2} $ are two special Lagrangian submanifolds of $\Rtn $ with
boundary that intersect transversally at one point $ p $. The set $ M_ {1}\cup M_ {2} $ is a …

Let $ L $ be a special Lagrangian submanifold of a compact Calabi-Yau manifold $ M $ with
boundary lying on the symplectic, codimension 2 submanifold $ W $. It is shown how …

We study special Lagrangian cones in $\C^ n $ with isolated singularities. Our main result
constructs an infinite family of special Lagrangian cones in $\C^ 3$ each of which has a …

We make a large use of a Weierstrass representation formula to describe a variety of
Hamiltonian stationary Lagrangian surfaces. Among the examples we give are the already …

In this note we study the moduli space of minimal Legendrian submanifolds in the standard
sphere S2n− 1. We show that new examples of minimal Legendrian submanifolds can be …