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

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

2003-10-28

arxiv.org/abs/math/0310432v2

Mathematics

Differential Geometry

9 pages

Scientific paper

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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