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Hamiltonian-minimal submanifolds in Kaehler manifolds with symmetries

Yuxin Dong
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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 CP^n and C^n.

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Yuxin Dong. 2004-12-12. Hamiltonian-minimal submanifolds in Kaehler manifolds with symmetries. https://arxiv.org/abs/math/0412229

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