Hamiltonian-minimal submanifolds in Kaehler manifolds with symmetries

Details Hamiltonian-minimal submanifolds in Kaehler manifolds with symmetries Hamiltonian-minimal submanifolds in Kaehler manifolds with symmetries

2004-12-12

arxiv.org/abs/math/0412229v1

Mathematics

Differential Geometry

22 pages

Scientific paper

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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