COMPARISON RESULTS FOR CONJUGATE AND FOCAL POINTS IN SEMI-RIEMANNIAN GEOMETRY VIA MASLOV INDEX
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2009
|
| Resumo |
We prove an estimate on the difference of Maslov indices relative to the choice of two distinct reference Lagrangians of a continuous path in the Lagrangian Grassmannian of a symplectic space. We discuss some applications to the study of conjugate and focal points along a geodesic in a semi-Riemannian manifold. MEC (Spain) MEC, Spain[MTM2007-64504] MEC, Spain[04540/GERM/06] MEC (Spain) Fundacion Seneca, Regional Agency for Science and Technology Fundacion Seneca, Regional Agency for Science and Technology Regional Junta Andalucia[P06-FQM-01951] Regional Junta Andalucia Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Capes (Brazil)[BEX 1509-08-0] Fundacion Seneca, Spain Fundacion Seneca, Spain[09708/IV2/08] |
| Identificador |
PACIFIC JOURNAL OF MATHEMATICS, v.243, n.1, p.43-56, 2009 0030-8730 |
| Idioma(s) |
eng |
| Publicador |
PACIFIC JOURNAL MATHEMATICS |
| Relação |
Pacific Journal of Mathematics |
| Direitos |
openAccess Copyright PACIFIC JOURNAL MATHEMATICS |
| Palavras-Chave | #Maslov index #geodesics #semi-Riemannian geometry #conjugate points #focal points #GEODESICS #MANIFOLDS #Mathematics |
| Tipo |
article original article publishedVersion |
