Hamiltonian-minimal submanifolds in Kaehler manifolds with symmetries

Abstract

By making use of the symplectic reduction and the cohomogeneity method, we give a general method for constructing Hamiltonian minimal submanifolds in Kaehler manifolds with symmetries. As applications, we construct infinitely many nontrivial complete Hamiltonian minimal submanifolds in CPn and Cn.

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