English

Hamiltonian-minimal submanifolds in Kaehler manifolds with symmetries

Differential Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0412229,
  title  = {Hamiltonian-minimal submanifolds in Kaehler manifolds with symmetries},
  author = {Yuxin Dong},
  journal= {arXiv preprint arXiv:math/0412229},
  year   = {2007}
}

Comments

22 pages