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Killing Vector Fields of Generic Semi-Riemannian Metrics

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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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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
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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