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dc.contributor.CRUESPUniversidade Estadual de Campinaspt_BR
dc.typeArtigo de periódicopt_BR
dc.titleStability of the conjugate index, degenerate conjugate points and the Maslov index in semi-Riemannian geometrypt_BR
dc.contributor.authorMercuri, Fpt_BR
dc.contributor.authorPiccione, Ppt_BR
dc.contributor.authorTausk, DVpt_BR
unicamp.authorUniv Estadual Campinas, Dept Matemat, BR-13081970 Campinas, SP, Brazil Univ Sao Paulo, Dept Matemat, BR-05508 Sao Paulo, Brazilpt_BR
dc.subject.wosGeodesicspt_BR
dc.subject.wosSystemspt_BR
dc.subject.wosTheorempt_BR
dc.description.abstractWe investigate the problem of the stability of the number of conjugate or focal points ( counted with multiplicity) along a semi-Riemannian geodesic gamma. For a Riemannian or a non-spacelike Lorentzian geodesic, such number is equal to the intersection number ( Maslov index) of a continuous curve with a subvariety of codimension one of the Lagrangian Grassmannian of a symplectic space. In the general semi-Riemannian case, under a certain nondegeneracy assumption on the conjugate points, this number is equal to an algebraic count of their multiplicities. In this paper we reprove some results that were incorrectly stated by Helfer in 1994, where the occurrence of degeneracies was overlooked; in particular, a counterexample to one of Helfer's results, which is essential for the theory, is given. In the last part of the paper we discuss a general technique for the construction of examples and counterexamples in the index theory for semi-Riemannian geodesics, in which some new phenomena appear.pt
dc.relation.ispartofPacific Journal Of Mathematicspt_BR
dc.relation.ispartofabbreviationPac. J. Math.pt_BR
dc.publisher.cityBerkeleypt_BR
dc.publisher.countryEUApt_BR
dc.publisherPacific Journal Mathematicspt_BR
dc.date.issued2002pt_BR
dc.date.monthofcirculationOCTpt_BR
dc.identifier.citationPacific Journal Of Mathematics. Pacific Journal Mathematics, v. 206, n. 2, n. 375, n. 400, 2002.pt_BR
dc.language.isoenpt_BR
dc.description.volume206pt_BR
dc.description.issuenumber2pt_BR
dc.description.firstpage375pt_BR
dc.description.lastpage400pt_BR
dc.rightsfechadopt_BR
dc.sourceWeb of Sciencept_BR
unicamp.cruespUSPpt_BR
dc.identifier.issn0030-8730pt_BR
dc.identifier.wosidWOS:000178244800007pt_BR
dc.date.available2014-11-18T01:49:39Z
dc.date.available2015-11-26T17:45:12Z-
dc.date.accessioned2014-11-18T01:49:39Z
dc.date.accessioned2015-11-26T17:45:12Z-
dc.description.provenanceMade available in DSpace on 2014-11-18T01:49:39Z (GMT). No. of bitstreams: 1 WOS000178244800007.pdf: 400450 bytes, checksum: 31c5d311e4d1d7e10aa8d8ac32849017 (MD5) Previous issue date: 2002en
dc.description.provenanceMade available in DSpace on 2015-11-26T17:45:12Z (GMT). No. of bitstreams: 2 WOS000178244800007.pdf: 400450 bytes, checksum: 31c5d311e4d1d7e10aa8d8ac32849017 (MD5) WOS000178244800007.pdf.txt: 68654 bytes, checksum: ed3c2f31d30b8aedab3dd22b3cacb6d2 (MD5) Previous issue date: 2002en
dc.identifier.urihttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/74499pt_BR
dc.identifier.urihttp://www.repositorio.unicamp.br/handle/REPOSIP/74499
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/74499-
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