caa a22 4500 606209980 CHVBK 20210128101031.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00032-014-0229-3 doi (NATIONALLICENCE)springer-10.1007/s00032-014-0229-3 Killing Vector Fields of Generic Semi-Riemannian Metrics [Elektronische Daten] [M. Castrillón López, J. Muñoz Masqué, E. Rosado María] Let M be a smooth oriented connected n-dimensional manifold and let $${\mathfrak{M}}$$ M be the space of pseudo-Riemannian metrics on M of a given signature $${(n^+, n^-), n^{+} + n^- = n > 1}$$ ( n + , n - ) , n + + n - = n > 1 . A system of n metric invariants is attached to each metric in $${\mathfrak{M}}$$ M , called the Ricci invariants, and by using the geometric properties of such invariants, the following result is proved: The subset $${\mathfrak{O} \subset \mathfrak{M}}$$ O ⊂ M of metrics with no Killing vector fields other than the trivial one is open and dense with respect to the strong topology. Springer Basel, 2014 Isometry group nationallicence jet bundle nationallicence Killing vector field nationallicence pseudo-Riemannian metric nationallicence Ricci invariant nationallicence Castrillón López M. ICMAT(CSIC-UAM-UC3M-UCM), Departamento de Geometría y Topología, Facultad de Matemáticas, UCM, Plaza de Ciencias 3, 28040, Madrid, Spain aut Muñoz Masqué J. Instituto de Seguridad de la Información, CSIC, C/ Serrano 144, 28006, Madrid, Spain aut Rosado María E. Departamento de Matemática Aplicada, Escuela Técnica Superior de Arquitectura, UPM, Avda. Juan de Herrera 4, 28040, Madrid, Spain aut Milan Journal of Mathematics Springer Basel 83/1(2015-06-01), 47-54 1424-9286 83:1<47 2015 83 32 https://doi.org/10.1007/s00032-014-0229-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00032-014-0229-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Castrillón López M. ICMAT(CSIC-UAM-UC3M-UCM), Departamento de Geometría y Topología, Facultad de Matemáticas, UCM, Plaza de Ciencias 3, 28040, Madrid, Spain aut NATIONALLICENCE 700 1- Muñoz Masqué J. Instituto de Seguridad de la Información, CSIC, C/ Serrano 144, 28006, Madrid, Spain aut NATIONALLICENCE 700 1- Rosado María E. Departamento de Matemática Aplicada, Escuela Técnica Superior de Arquitectura, UPM, Avda. Juan de Herrera 4, 28040, Madrid, Spain aut NATIONALLICENCE 773 0- Milan Journal of Mathematics Springer Basel 83/1(2015-06-01), 47-54 1424-9286 83:1<47 2015 83 32