Title | **Homogeneous Einstein metrics on the generalized flag manifold** |

Author(s) | Andreas Arvanitoyeorgos, Ioannis Chrysikos, Yusuke Sakane |

Type | Article in Journal |

Abstract | We find the precise number of non-Kähler Sp ( n ) -invariant Einstein metrics on the generalized flag manifold M = Sp ( n ) / ( U ( p ) × U ( n − p ) ) with n ⩾ 3 and 1 ⩽ p ⩽ n − 1 . We use an analysis on parametric systems of polynomial equations and we give some insight towards the study of such systems. |

Keywords | Homogeneous manifold, Einstein metric, Generalized flag manifold, Algebraic system of equations, Resultant, Gröbner basis |

ISSN | 0926-2245 |

URL |
http://www.sciencedirect.com/science/article/pii/S0926224511000428 |

Language | English |

Journal | Differential Geometry and its Applications |

Volume | 29, Supplement 1 |

Pages | S16 - S27 |

Year | 2011 |

Note | International Conference on Differential Geometry and its Applications |

Edition | 0 |

Translation |
No |

Refereed |
No |