Publications (A. Zeghib)

66. Topology and Dynamics of compact plane waves (with M. Hanounah, I. Kath and L. Mehidi), Arxiv

65. Lie groups with all left-invariant semi-Riemannian metrics complete (with A. Elshafei, A. Ferreira and M. Sanchez), Arxiv

64. On closed geodesics in Lorentz manifolds (with S. Allout and A. Belkacem), Arxiv

63. Pseudo-Conformal Actions of the Möbius Group (with M. Belraouti, M. Deffaf and Y. Raffed), Arxiv


     Differential Geometry and its Applications, to appear.

62. On homogeneous 3-dimensional spacetimes: focus on plane waves (with S. Allout and A. Belkacem), Arxiv

61. On completeness and dynamics of compact Brinkmann spacetimes (with L. Mehidi), Arxiv

60. On homogeneous Hermite-Lorentz spaces of low dimension (with M. Guediri and F. Kadi), Arxiv 

     Journal of Lie Theory Volume 33 (2023) 763–781

59. Kundt Three Dimensional Left Invariant Spacetimes (with M. Boucetta and A. Meliani), pdf
J. Math. Phys. 63, 112501 (2022)

58. Rigidity od Pseudo-Hermitian Homogeneous Spaces of finite volume (with Oliver Baues and Wolfgang Globke), pdf

57'. Isometry Lie algebras of indefinite homogeneous spaces of finite volume (with Oliver Baues and Wolfgang Globke),
a fusion of [56] and [57], pdf,
Proc. London. Math. Soc. 119 (2019)

57. Simply connected indefinite homogeneous spaces of finite volume (with Oliver Baues and Wolfgang Globke, pdf

56. Isometry Lie algebras of indefinite homogeneous spaces of finite volume (with Oliver Baues and Wolfgang Globke), pdf

55. On Rigidity of Generalized Conformal Structures (with Samir Bekkara), pdf
Geometriae Dedicata, 189 (2017) 59-78.  

54. On Discrete Projective Transformation Groups of Riemannian Manifolds, pdf
Advances in Math. 297 (2016) 26-53.
On discrete projective transformation groups of Riemannian manifolds
. On homogeneous Hermite-Lorentz spaces (with Ali Ben Ahmed), pdf
Asian Journal of Math. 20 (2016), n 3, 531-552. AJM 20-3-06.dvi

52. Geometry of warped products, pdf

51. Singular Riemannian metrics, sub-rigidity vs rigidity (with Samir Bekkara), pdf
Mathematical Research Letters, 18 (2011), no. 6, 1203-1214.

50'. Holomorphic actions, Kummer examples, and Zimmer program (with Serge Cantat,
a fusion of [48] and [50]), pdf
Ann. Sci. Ecole. Norm. Sup. (4) 45 (2012), no. 3, 447-489.

50. Holomorphic actions, Kummer examples, and Zimmer program (with Serge Cantat), pdf

49. On the isometry group and the geometric structure of compact stationary Lorentzian manifolds (with Paolo Piccione) pdf

48. Holomorphic actions of higher rank lattices in dimension three (with Serge Cantat), pdf

47. Prescribing  Gauss curvature of surfaces in 3-dimensional spacetimes, Application to the Minkowski problem in Minkowski (with T. Barbot, F. Béguin) pdf
Annales de l’institut Fourier, 61 (2011), no. 2, 511-591.

46. Finsler conformal Lichnerowicz-Obata conjecture (with  V. Matveev, H-B Rademacher et M. Troyanov), pdf
Annales de l’institut Fourier,  59, 3 (2009) 937-949

45. Actions of semisimple Lie groups preserving a degenerate Riemannian metric (with E. Bekkara et C. Frances), pdf
Trans. Amer. Math. Soc, 362 (2010), 2415--2434.

44. Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds (with S. Dumitrescu), pdf
Math. Ann. 345 (2009) 53-81.

43. Géométries lorentziennes en dimension 3 : classification et complétude (with S. Dumitrescu), pdf
Geometriae Dedicata, 149 (2010) 243-273.

42'. Cosmological time versus CMC time in spacetimes on constant curvature (with L. Andersson, T. Barbot, F. Béguin), a fusion of [39] and [42], pdf
Asian Journal of Maths, 16 (2012), no. 1, 37-87.

42. Cosmological time versus CMC time II : The de Sitter and anti de Sitter cases (with L. Andersson, T. Barbot, F. Béguin) pdf

41. On lightlike geometry : isometric actions, and rigidity aspects (with E. Bekkara et C. Frances), pdf
C. R. Acad. Sci. Paris, Ser I, 343 (2006) 317-321

40. Homogeneous spaces, dynamics, cosmology: Geometric flows and rational dynamics pdf
« Géométries et Dynamiques », Proceedings de l’école CIMPA d’El-Oued, Editeurs : K. Saddalah & A. Zeghib, Travaux en cours 70 (2008), Hermann, Paris.

39. Cosmological time versus CMC time I : Flat spacetimes (with L. Andersson, T. Barbot, F. Béguin) pdf

38. Actions of noncompact semisimple groups on Lorentz manifolds (with M. Deffaf et K. Melnick), pdf
Geom. Funct. Anal. (GAFA), 18 (2008) 463-488.  

37. On the conformal group of Finsler manifolds  pdf 

36. On Lorentz dynamics: From group actions to warped products via homogeneous espaces (with A. Arouche et M. Deffaf), pdf
Trans. Amer. Math. Soc. 359  (2007), 1253-1263.

35. Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on AdS3  (with T. Barbot et F. Béguin), pdf
Geometriae Dedicata,  126 (2007) 71-129. 

34. Real and discrete holomorphy: Introduction to an algebraic approach (with Sylvain Barré), pdf
Journal Math. Pures et appliquées,  87 (2007) 495-513. 

33. Group actions on Lorentz spaces, Mathematical aspects: a survey (with T. Barbot) pdf
``The Einstein équations and the large scale behaviour of gravitational fields’’, edited by P. Chrusciel and H. Friedrich, Birkâuser (2004) 401-440

32. Isometric actions of Lie subgroups of the Moebius group (with Charles Boubel) pdf,
NonLinearity, 17 (2004) 1677-1688

31. Some Remarks on conformal pseudo-Riemannian actions of simple Lie groups (with Charles Frances) pdf,
Mathematical Research Letters, 12 (2005) 49-56

30. Feuilletages des espaces temps globalement hyperboliques par des hypersurfaces à courbure moyenne constante (with Thierry Barbot, François Béguin) pdf,
CRAS, Volume 336, Issue 3, 1 February 2003, Pages 245-250

29. Remarks on Lorentz symmetric spaces pdf,
Compositio Math. 140 (2004) 1675-1678.

28. Histoire des immersions isométriques pdf,
Géométrie au XX e siècle, Editeurs : J. Kouneiher , D. Flament , P. Nabonnand , J. Szczeciniarz, 2005, Hermann, Paris.

27. Dynamics on the space of harmonic functions and the foliated Liouville problem (with Renato Feres) pdf,
Ergod. Theory. Dyn. Syst., 25  (2005),  no. 2, 503--516

26. Leafwise Holomorphic Functions (with Renato Feres) pdf,
Proc. Amer. Math. Soc. 131 (2003), 1717-1725.

25. Lipschitz regularity in some geometric problems pdf,
Geometriae Dedicata 107 (2004) 57-83.

24. Sur les groupes de transformations rigides: Théorème de l'orbite dense-ouverte pdf,
Panor. Synthèses, 13, Soc. Math. France, Paris, 2002

23. Quelques remarques sur les actions analytiques des réseaux des groupes de Lie de rang supérieur. pdf,
C.R.A.S. 328 (1999), 799--804.

22. On Gromov's theory of rigid transformation groups: A dual approach. pdf
Ergod. Th. Dynam. Sys. 20 (2000), no. 3. 935-946.

21. Isometry groups and geodesic foliations of Lorentz manifolds. Part II: Geometry of analytic Lorentz manifolds with large isometry groups. pdf,
GAFA  9  (1999),  no. 4, 823--854

20. Isometry groups and geodesic foliations of Lorentz manifolds. Part I : Foundations of Lorentz dynamics. pdf,
GAFA  9  (1999),  no. 4, 775--822.

19. Sur les espaces-temps homogènes. pdf
Geometry and Topology Monographs.  1 (1998)

18. Geodesic foliations in Lorentz 3-manifolds. pdf
Comm. Math.Helv. 74 (1999), no. 1, 1-21.

17. On closed anti de Sitter spacetimes.  pdf
Math. Ann. 310 (1998), no. 4, 695-716

16. The identity component of the isometry group of a compact Lorentz manifold. pdf,
Duke. Math. J. 92  (1998),  no. 2, 321--333.

15. On affine actions of Lie groups. pdf
Math. Zeitschrift, 227  (1998),  no. 2, 245--262.

14. Sur le groupe affine d'une variété riemannienne compacte, pdf
Comm. Anal. Geom., 5 (1997) 199-211.

13. Sur les actions affines des groupes discrets. pdf
Ann. Inst. Fourier, 47 (1997) 641-685

12. Feuilletages géodésiques des variétés localement symétriques. pdf
Topology, 36 (1997) 805-828.

11. Killing fields in compact Lorentz 3-manifolds. pdf
J. Diff. Geom., 43 (1996) 859-894.

10. Sur le bord du groupe d'isométries d'une variété lorentzienne compacte Abstract
C. R. Acad. Sc. Paris, t. {\bf 322} (1996) 149-154.

9. Subsystems of Anosov Systems. pdf,
Amer. Jour. Math 117 (1995) 1431-1448.

8. An example of a $2$-dimensional no leaf. Geometric study of foliations. pdf
Tokyo, 1993) 475--477, World Sci. Publishing 1994.

7. Ensembles invariants des flots géodésiques des variétés localement symétriques. pdf
Ergod. Th. Dynam. Sys. 15 (1995) 379-412.

6. Sur une notion d'autonomie de systèmes dynamiques appliquée aux ensembles invariants des flots d'Anosov algébriques. pdf 
Ergod. Th. Dynam. Sys. 15(1995) 175-207.

5. Feuilletages géodésiques appliqués. pdf 
Math. Ann. 298 (1994) 729--759.

4. Sur les feuilletages géodésiques continus des variétés hyperboliques. pdf
Invent. Math. 114 (1993) 193--206.

3. Laminations et hypersurfaces géodésiques des variétés hyperboliques. pdf
Ann. Sci. Ecole Norm. Sup. 24 (1991) 171—188

2. Sur quelques aspects dynamiques de la courbure négative. pdf,
 Habilitation à diriger des recherches, Lyon (1995)

1. Feuilletages géodésiques des variétés localement symétriques et applications. Abstract
Thèse de Doctorat de l'université de Dijon (1985).

A. Zeghib