Maslov index in semi-Riemannian submersions
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2010
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| Resumo |
We study focal points and Maslov index of a horizontal geodesic gamma : I -> M in the total space of a semi-Riemannian submersion pi : M -> B by determining an explicit relation with the corresponding objects along the projected geodesic pi omicron gamma : I -> B in the base space. We use this result to calculate the focal Maslov index of a (spacelike) geodesic in a stationary spacetime which is orthogonal to a timelike Killing vector field. M.I.U.R.[PRIN07] M.I.U.R. Regional Junta Andalucia Regional Junta Andalucia[P06-FQM-01951] Fundacion Seneca[04540/GERM/06] Fundacion Seneca Spanish MEC[MTM2009-10418] Spanish MEC Capes, Brazil[BEX 1509/08-0] Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) |
| Identificador |
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, v.38, n.1, p.57-75, 2010 0232-704X http://producao.usp.br/handle/BDPI/30721 10.1007/s10455-010-9200-x |
| Idioma(s) |
eng |
| Publicador |
SPRINGER |
| Relação |
Annals of Global Analysis and Geometry |
| Direitos |
restrictedAccess Copyright SPRINGER |
| Palavras-Chave | #Semi-Riemannian submersions #O`Neill tensors #Maslov index #CONJUGATE-POINTS #MORSE INDEX #FOCAL POINTS #GEODESICS #GEOMETRY #THEOREM #SYSTEMS #Mathematics |
| Tipo |
article original article publishedVersion |
