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Castrillón López, Marco and Muñoz Masqué, Jaime and Rosado María,, E.
(2014)
*Killing Vector Fields of Generic Semi-Riemannian Metrics.*
Milan Journal of Mathematics
.
ISSN 1424-9286

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Restringido a Repository staff only 263kB |

Official URL: http://link.springer.com/article/10.1007/s00032-014-0229-3

## Abstract

Let M be a smooth oriented connected n-dimensional manifold and let M be the space of pseudo-Riemannian metrics on M of a given signature (n+,n−),n++n−=n>1. A system of n metric invariants is attached to each metric in M, called the Ricci invariants, and by using the geometric properties of such invariants, the following result is proved: The subset O⊂M of metrics with no Killing vector fields other than the trivial one is open and dense with respect to the strong topology.

Item Type: | Article |
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Uncontrolled Keywords: | Isometry group, jet bundle, Killing vector field, pseudo-Riemannian metric, Ricci invariant |

Subjects: | Sciences > Mathematics |

ID Code: | 29051 |

Deposited On: | 05 Mar 2015 11:07 |

Last Modified: | 12 Dec 2018 15:12 |

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