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

Iriyeh, Hiroshi; Ono, Hajime; Sakai, Takashi

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

Authors

Iriyeh, Hiroshi

Ono, Hajime

Sakai, Takashi

Description

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.
9 pages

Keywords

Differential Geometry, Symplectic Geometry, 53C40; 53C65

URI

http://salesiana.dossiersoluciones.com/handle/123456789/69000

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310432
http://arxiv.org/abs/math/0310432

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arXiv

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

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Consulte el texto completo en el siguiente enlace:

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