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

Hiroshi Iriyeh·Hajime Ono·Takashi Sakai
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Abstract

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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Hiroshi Iriyeh, Hajime Ono, Takashi Sakai. 2003-11-18. Integral Geometry and Hamiltonian volume minimizing property of a totally geodesic Lagrangian torus in S^2 times S^2. https://arxiv.org/abs/math/0310432

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