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Minimal surface systems, maximal surface systems, and special Lagrangian equations
minimal submanifold special Lagrangian equation entire solution
2012/4/17
We extend Osserman's lemma on the generalized Gauss map of two-dimensional minimal graphs of higher codimension, construct a Jenkins-Serrin type special Lagrangian Scherk graph explicitly, and general...
Special Lagrangian 4-folds with $SO(2)\rtimes S_3$-Symmetry in Complex Space Forms
Lagrangian 4-folds Complex Space Forms Differential Geometry
2011/8/25
Abstract: In this article we obtain a classification of special Lagrangian submanifolds in complex space forms subject to an $SO(2)\rtimes S_3$-symmetry on the second fundamental form. The algebraic s...
U(1)-invariant special Lagrangian 3-folds in {\mathbb C}3 and special Lagrangian fibrations
U(1)-invariant special Lagrangian 3-folds special Lagrangian fibrations
2010/3/1
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 (z1,z2,z3)eiqz1, e-iqz2,z3), and their seq...
Special Lagrangian Geometry in irreducible symplectic 4-folds
Lagrangian Geometry irreducible symplectic 4-folds
2010/10/29
Having fixed a Kaehler class and the unique corresponding hyperkaehler metric, we prove that all special Lagrangian submanifolds of an irreducible symplectic 4-fold X are bi-Lagrangian and that they ...