2006•Unpublished venueRequires access
Lagrangian Submanifolds Foliated by(n-1)-spheres in R~(2n)
P Anciaux
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Abstract
We study Lagrangian submanifolds foliated by(n-1)-spheres in R~(2n) for n≥3.We give a general parametrization for such submanifolds,and refine that description when the submanifold is special Lagrangian,self-similar,Hamiltonian stationary or has mean curvature vector of constant length.In all these cases,the submanifold is centered,i.e.invariant under the action of SO(n).It suffices then to solve a simple ODE in two variables to describe the geometry of the solutions.