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math.DG2008★ 2 cited
Constant Mean Curvature Hypersurfaces Condensing to Geodesic Segments and Rays in Riemannian Manifolds
Adrian Butscher, Rafe Mazzeo
We construct examples of compact and one-ended constant mean curvature surfaces with large mean curvature in Riemannian manifolds with axial symmetry by gluing together small spher…
math.DG2008★ 2 cited
Hamiltonian Stationary Lagrangian Tori in Kaehler Manifolds
Adrian Butscher, Justin Corvino
A Hamiltonian stationary Lagrangian submanifold of a Kaehler manifold is a Lagrangian submanifold whose volume is stationary under Hamiltonian variations. We find a sufficient cond…