81 citations · 655 across the 51 of their papers we have counts for
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U(1)-invariant special Lagrangian 3-folds II. Existence of singular solutions
Dominic Joyce
This is the second of three papers math.DG/0111324, math.DG/0204343 studying special Lagrangian 3-submanifolds (SL 3-folds) N in C^3 invariant under the U(1)-action (z_1,z_2,z_3) -…
U(1)-invariant special Lagrangian 3-folds I. Nonsingular solutions
Dominic Joyce
This is the first of three papers math.DG/0111326, math.DG/0204343 studying special Lagrangian 3-submanifolds (SL 3-folds) N in C^3 invariant under the U(1)-action (z_1,z_2,z_3) --…
Lectures on special Lagrangian geometry
Dominic Joyce
We introduce special Lagrangian submanifolds in C^m and in (almost) Calabi-Yau manifolds, and survey recent results on singularities of special Lagrangian submanifolds, and their a…
Lectures on Calabi-Yau and special Lagrangian geometry
Dominic Joyce
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…
Constant Scalar Curvature Metrics on Connected Sums
Dominic Joyce
Let (M,g) be a compact Riemannian manifold with dimension n > 2. The Yamabe problem is to find a metric with constant scalar curvature in the conformal class of g, by minimizing th…
Special Lagrangian 3-folds and integrable systems
Dominic Joyce
This is the sixth in a series of papers constructing examples of special Lagrangian m-folds in C^m. We present a construction of special Lagrangian cones in C^3 involving two commu…