Killing Vector Fields of Generic Semi-Riemannian Metrics

Rosado María, María Eugenia and Castrillón López, M. and Muñoz Masqué, Jaime (2015). Killing Vector Fields of Generic Semi-Riemannian Metrics. "Milan Journal of Mathematics", v. 83 (n. 1); pp. 47-54. ISSN 1424-9286. https://doi.org/10.1007/s00032-014-0229-3.

Description

Title: Killing Vector Fields of Generic Semi-Riemannian Metrics
Author/s:
  • Rosado María, María Eugenia
  • Castrillón López, M.
  • Muñoz Masqué, Jaime
Item Type: Article
Título de Revista/Publicación: Milan Journal of Mathematics
Date: June 2015
ISSN: 1424-9286
Volume: 83
Subjects:
Faculty: E.T.S. Arquitectura (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainMTM2011–22528UnspecifiedUnspecifiedUnspecified

More information

Item ID: 44752
DC Identifier: http://oa.upm.es/44752/
OAI Identifier: oai:oa.upm.es:44752
DOI: 10.1007/s00032-014-0229-3
Official URL: http://link.springer.com/article/10.1007/s00032-014-0229-3
Deposited by: Memoria Investigacion
Deposited on: 24 Feb 2017 07:30
Last Modified: 03 Apr 2020 07:21
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