Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/1462
Registo completo
Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Moyaux, Pierre-Marie | - |
dc.contributor.author | Vandembroucq, Lucile | - |
dc.date.accessioned | 2005-05-06T09:07:16Z | - |
dc.date.available | 2005-05-06T09:07:16Z | - |
dc.date.issued | 2004-01 | - |
dc.identifier.citation | "Mathematische zeitschrift". ISSN 0025-5874. 246 (2004) 85-103. | eng |
dc.identifier.issn | 0025-5874 | por |
dc.identifier.uri | https://hdl.handle.net/1822/1462 | - |
dc.description.abstract | For a manifold $M$, we prove that any function defined on a vector bundle of basis $M$ and quadratic at infinity has at least $Qcat(M)+1$ critical points. Here $Qcat(M)$ is a homotopically stable version of the LS-category defined by Scheerer, Stanley and Tanré. The key homotopical result is that $Qcat(M)$ can be identified with the relative LS-category of Fadell and Husseini of the pair $(M\times D^{n+1}, M\times S^n)$ for $n$ big enough. Combining this result with the work of Laudenbach and Sikorav, we obtain that if $M$ is closed, for any hamiltonian diffeomorphism with compact support $\psi$ of $T^{\ast}M$, $\# (\psi (M) \cap M)\geq Qcat(M)+1$, which improves all previously known homotopical estimates of this intersection number. | eng |
dc.description.sponsorship | Fundação para a Ciência e a Tecnologia (FCT) - Programa operacional "Ciência, Tecnologia, Inovação" (POCTI) | por |
dc.language.iso | eng | eng |
dc.publisher | Springer Verlag | eng |
dc.rights | openAccess | eng |
dc.subject | Lusternik-Schnirelmann category | eng |
dc.subject | Lagrangian intersections | eng |
dc.title | Lagrangian intersections, critical points and Qcategory | eng |
dc.type | article | eng |
dc.peerreviewed | yes | eng |
oaire.citationStartPage | 85 | por |
oaire.citationEndPage | 103 | por |
oaire.citationIssue | 1-2 | por |
oaire.citationVolume | 246 | por |
dc.identifier.doi | 10.1007/s00209-003-0583-2 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Mathematische Zeitschrift | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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LagcritQcat-finalversion.pdf | 347,44 kB | Adobe PDF | Ver/Abrir |