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

2003/10/28 by Hiroshi Iriyeh, Iriyeh, Hiroshi, Hajime Ono +3
Mathematics · #53C40 #53C65 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53C40 #msc:53C65

paper · pdf · doi:10.48550/arxiv.math/0310432

9 pages

openalex publication_date 2003/10/28 · arxiv created 2003/11/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the product of equators S¹ × S¹ in S² × S² is globally volume minimizing under Hamiltonian deformations.

Citations

• The kinematic formula in Riemannian homogeneous spaces

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