Construction of examples of b-completion
| dc.contributor.author | Amores Lázaro, Ángel Miguel | |
| dc.contributor.author | Gutierrez, M. | |
| dc.date.accessioned | 2023-06-20T16:49:33Z | |
| dc.date.available | 2023-06-20T16:49:33Z | |
| dc.date.issued | 2001-08 | |
| dc.description | 3rd World Congress of Nonlinear Analysts,JUL 19-26, 2000, Catania, Italy | |
| dc.description.abstract | We survey some techniques for constructing b-completions. First, we give general results relating the b-completion of a product to the b-completion of its factors, the b-completion of a quotient, and the dependence of the b-completion on the bundle chosen to form it. Second, we relate (when possible) some b-completions to those of Riemannian metrics, and study invariant connections on homogenous spaces. Some particular examples are also considered. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Direccion General de Investigacion Cientifica y Tecnica. Ministerio de Educacion y Ciencia | |
| dc.description.sponsorship | Dirección General de Enseñanza Superior | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/14708 | |
| dc.identifier.doi | 10.1016/S0362-546X(01)00417-5 | |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0362546X01004175 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57147 | |
| dc.issue.number | 5, Par | |
| dc.journal.title | Nonlinear analysis-theory methods & applications | |
| dc.language.iso | eng | |
| dc.page.final | 2970 | |
| dc.page.initial | 2959 | |
| dc.publisher | Pergamon-Elsevier Science | |
| dc.relation.projectID | PB98-0758 | |
| dc.relation.projectID | PB97-1095 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.keyword | B-completion | |
| dc.subject.keyword | Homogeneus reductive spaces | |
| dc.subject.keyword | Singularity | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Construction of examples of b-completion | |
| dc.type | journal article | |
| dc.volume.number | 47 | |
| dcterms.references | [1] A. M. Amores, On the b-Completion of Certain Quotient Spaces. Lett. Math. Phys. 15, 341-343 (1988). [2J A. M. Amores, M. Gutiérrez. Singularities of Invariant Connections. Gen. Relativity Gravitation. 24, 1235-1253 (1992). [3J A. M. Amores, M. Gutiérrez. The b-completion of the Friedmann space. J. Geom. Phys. 29, 177-197 (1999). [4] B. Bosshard. On the b-Boundary ofthe Closed Friedmann-Model. Comm. Math. Phys. 46, 263-268 (1976). [5J C. J. T. Dodson, L. J. Sulley. The b-boundary of §l with a constant connection. Lett. Math. Phys. 1, 301-307 (1976). [6J H. Friedrich. Construction and properties of Space-Time b-Boundaries. Gen. Relativity Gravitation. 5,681-697 (1974). [7J R. Geroch. What is a Singularity in General Relativity? Ann. Physics. 48, 526-540 (1968). [8J J. Gruszczak, M. Heller, Z. Pogoda. Cauchy Boudary and b-Incompleteness of Space-Time. International Journal of Theoretical Physics. 30, 555-565 (1991). [9J S. W. Hawking, G.F.R. Ellis. The Large-Scale Structure of Spacetime. University Press, Cambridge, (1973). [10J R. A. Johnson. The bundle boundary in sorne special cases. J. Math. Phys. 18, 898-902 (1977). [l1J H. T. Laquer. Invariant affine connections on Lie Groups. Trans. AMS 331, 541-551 (1992). [12J H. T. Laquer. Invariant affine connections on homogeneous spaces. Proc. AMS 115,447-454 (1992). [13J R. K. Sachs. Spacetime b-Boundaries. Comm. Math. Phys. 33, 215-220 (1973). [14] B. G. Schmidt. A New Definition of Singular Points in General Relativity. Gen. Relatívity Gravítatíon. 1, 269-280 (1971). [15] B. G. Schmidt. The local b-completeness of Space-times. Comm. Math. Phys. 29, 49-54 (1973). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | a49b2f2d-adc2-4dbb-b8ea-f908c19a26ac | |
| relation.isAuthorOfPublication.latestForDiscovery | a49b2f2d-adc2-4dbb-b8ea-f908c19a26ac |
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