Uniqueness of Hamiltonian volume minimizing Lagrangian submanifolds which are Hamiltonian isotopic to RPⁿ in CPⁿ

2005/09/05 by Hiroshi Iriyeh, Iriyeh, Hiroshi
Mathematics · #53C40 #53C65 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:53C40 #msc:53C65

paper · pdf · doi:10.48550/arxiv.math/0509091

4 pages

arxiv created 2005/09/05 · openalex publication_date 2005/09/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this short note is to prove the uniqueness of Hamiltonian volume minimizing Lagrangian submanifolds which are Hamiltonian isotopic to RPⁿ in CPⁿ modulo isometric group actions.

Citations

• The kinematic formula in Riemannian homogeneous spaces

Related

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• Almost all standard Lagrangian tori in Cⁿ are not Hamiltonian volume minimizing
• Non-Hamiltonian isotopic Lagrangians on the one-point blow-up of CP²
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• Uniqueness of Lagrangians in T^*RP2