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http://hdl.handle.net/2445/7622
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DC Field | Value | Language |
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dc.contributor.author | Currás Bosch, Carlos | cat |
dc.date.accessioned | 2009-04-06T07:52:06Z | - |
dc.date.available | 2009-04-06T07:52:06Z | - |
dc.date.issued | 1984 | cat |
dc.identifier.issn | 1088-6826 | cat |
dc.identifier.uri | http://hdl.handle.net/2445/7622 | - |
dc.description.abstract | We prove that for each Killing vector field $ X$ on a complete Riemannian manifold, whose orthogonal distribution is involutive, the $ (1,1)$ skew-symmetric operator $ {A_X}$ associated to $ X$ by $ {A_X} = {L_X} - {\nabla _X}$ lies in the holonomy algebra at each point. By using the same techniques, we also study when that operator lies in the infinitesimal and local holonomy algebras respectively. | - |
dc.format.extent | 7 p. | cat |
dc.format.mimetype | application/pdf | eng |
dc.language.iso | eng | eng |
dc.publisher | American Mathematical Society | cat |
dc.relation.isformatof | Reproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/2044677. | cat |
dc.relation.ispartof | Proceedings of the American Mathematical Society, 1984, vol. 90, núm. 1, p. 97-102. | cat |
dc.relation.uri | http://doi.org/10.1090/S0002-9939-1984-0722424-6 | - |
dc.rights | (c) American Mathematical Society, 1984 | cat |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Camps vectorials | cat |
dc.subject.classification | Àlgebra | cat |
dc.subject.other | Vector fields | eng |
dc.subject.other | Algebra | eng |
dc.title | Killing vector fields and holonomy algebras | eng |
dc.type | info:eu-repo/semantics/article | eng |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 2623 | cat |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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