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math.DG2003★ 5 cited
Some estimates related to Oh's conjecture for the Clifford tori in CP^n
Edward Goldstein
This note is motivated by Y.G. Oh's conjecture that the Clifford torus in minimizes volume in its Hamiltonian deformation class. We show that there exist expl…
math.DG2003
A note on mean curvature, Maslov class and symplectic area of Lagrangian immersions
Kai Cieliebak, Edward Goldstein
In this note we prove a simple relation between the mean curvature form, symplectic area, and the Maslov class of a Lagrangian immersion in a Kähler-Einstein manifold. An immediate…
math.DG2003
Volume minimization for Lagrangian submanifolds in complex manifolds with negative first Chern class
Edward Goldstein
It is classically known that closed geodesics on a compact Riemann surface with a metric of negative curvature strictly minimize length in their free homotopy class. We'd like to g…