Geodesic
The Conjugate Loci and Cut Loci on Simply-Connected Lorentzian Symmetric Spaces
Journal of Lie theory, Tome 24 (2014) no. 3, pp. 641-655

Voir la notice de l'article provenant de la source Heldermann Verlag

We study conjugate loci and cut loci of Lorentzian symmetric spaces. We prove that if $M_1$ is a connected simply connected Lorentzian symmetric space of the form $\mathbb{R}\times M$, $D\times M$, and $C\times M$, where $M$ is a connected simply connected compact Riemannian symmetric space, $D$ is the universal covering of the de Sitter space-time with dimension $\geq3$, and $C$ is a Cahen-Wallach manifold, then for any given point $x\in M_1$, all future (past) nonspacelike cut loci and the locus of first future (past) nonspacelike conjugate loci coincide.
Classification : 22E46, 53C30
Mots-clés : Lorentzian symmetric spaces, conjugate loci, cut loci, de Sitter spaces, Cahen-Wallach manifolds 
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     author = {S. Deng and X. Liu },
     title = {The {Conjugate} {Loci} and {Cut} {Loci} on {Simply-Connected} {Lorentzian} {Symmetric} {Spaces}},
     journal = {Journal of Lie theory},
     pages = {641--655},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JLT_2014_24_3_JLT_2014_24_3_a1/}
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S. Deng; X. Liu . The Conjugate Loci and Cut Loci on Simply-Connected Lorentzian Symmetric Spaces. Journal of Lie theory, Tome 24 (2014) no. 3, pp. 641-655. http://geodesic.mathdoc.fr/item/JLT_2014_24_3_JLT_2014_24_3_a1/