A family of conformally flat Hamiltonian-minimal Lagrangian tori in \mathbbCP³

2008/04/01 by Andrey E. Mironov, Mironov, A. E., Dafeng Zuo +1
Mathematics · #05C42 #35Q51 #53D12 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0804.0091

openalex publication_date 2008/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper by reduction we construct a family of conformally flat Hamiltonian-minimal Lagrangian tori in \mathbbCP³ as the image of the composition of the Hopf map H: \mathbbS⁷→ \mathbbCP³ and a map ψ:ℝ³ → \mathbbS⁷ with certain conditions.

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