Integral Geometry and Hamiltonian volume minimizing property of a totally geodesic Lagrangian torus in S^2 times S^2

arxiv: math/0310432 · v2 · submitted 2003-10-28 · 🧮 math.DG · math.SG

Integral Geometry and Hamiltonian volume minimizing property of a totally geodesic Lagrangian torus in S² times S²

Hiroshi Iriyeh , Hajime Ono , Takashi Sakai This is my paper

classification 🧮 math.DG math.SG

keywords timeshamiltonianminimizingvolumedeformationsequatorsgeodesicgeometry

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We prove that the product of equators $S^{1} \times S^{1}$ in $S^{2} \times S^{2}$ is globally volume minimizing under Hamiltonian deformations.

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