Morse index and bifurcation of p-geodesics on semi Riemannian manifolds

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dc.contributor.authorMusso, Monica
dc.contributor.authorPejsachowicz, Jacobo
dc.contributor.authorPortaluri, Alessandro
dc.date.accessioned2024-01-10T12:40:38Z
dc.date.available2024-01-10T12:40:38Z
dc.date.issued2007
dc.description.abstractGiven a one-parameter family {g(lambda) :lambda is an element of [ a, b]} of semi Riemannian metrics on an n-dimensional manifold M, a family of time-dependent potentials {V-lambda: lambda is an element of [a, b]} and a family {sigma(lambda): lambda is an element of [ a, b]} of trajectories connecting two points of the mechanical system defined by ( g(lambda),V-lambda), we show that there are trajectories bifurcating from the trivial branch s. if the generalized Morse indices mu(sigma(a)) and mu(sigma(a)) are different. If the data are analytic we obtain estimates for the number of bifurcation points on the branch and, in particular, for the number of strictly conjugate points along a trajectory using an explicit computation of the Morse index in the case of locally symmetric spaces and a comparison principle of Morse Schrodenberg type.
dc.fechaingreso.objetodigital2024-05-02
dc.format.extent24 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1051/cocv:2007037
dc.identifier.eissn1262-3377
dc.identifier.issn1292-8119
dc.identifier.urihttps://doi.org/10.1051/cocv:2007037
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77332
dc.identifier.wosidWOS:000248395000010
dc.information.autorucMatemática;Musso M;S/I;1003201
dc.issue.numero3
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final621
dc.pagina.inicio598
dc.publisherEDP SCIENCES S A
dc.revistaESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
dc.rightsacceso restringido
dc.subjectgeneralized Morse index
dc.subjectsemi-Riemannian manifolds
dc.subjectperturbed geodesic
dc.subjectbifurcation
dc.subjectSPECTRAL FLOW
dc.subjectMASLOV INDEX
dc.subjectPOINTS
dc.subjectCONJUGATE
dc.subjectTHEOREMS
dc.subjectSYSTEMS
dc.titleMorse index and bifurcation of p-geodesics on semi Riemannian manifolds
dc.typeartículo
dc.volumen13
sipa.codpersvinculados1003201
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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