Examples of unstable Hamiltonian-minimal Lagrangian tori in C2

Wiley - 1998
Ildefonso Castro1, Francisco Urbano2
1Departamento de Matemáticas, Escuela Politécnica Superior, Universidad de Jaén, Jén, Spain
2Departamento de Geometría y Topoligia, Universidad de Granada, Granada, Spain

Tóm tắt

A new family of Hamiltonian-minimal Lagrangian tori in the complex Euclidean plane is constructed. They are the first known unstable ones and are characterized in terms of being the only Hamiltonian-minimal Lagrangian tori (with non-parallel mean curvature vector) in C2 admitting a one-parameter group of isometries.

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