Prépublications et Publications

d'Oussama Hijazi


  1. (with S. Montiel and S. Raulot) A positive mass theorem for asymptotically hyperbolic manifolds with inner boundary, International Journal of Mathematics Vol. 26, No. 12, (2015).

  2. (with S. Montiel and S. Raulot) Uniqueness of the de Sitter spacetime among static vacua with a positive cosmological constant, Annals of Global Analysis and Geometry, Vol 47 (2), (2015) pp. 167-178.

  3. (with J.-P. Bourguignon, J.-L. Milhorat, A. Moroianu and S. Moroianu) A Spinorial Approach to Riemannian and Conformal Geometry, Monographs in Mathematics, European Mathematical Society (June 2015) 462 pages.

  4. (with S. Montiel and S. Raulot) A Holographic Principle for the Existence of Imaginary Killing Spinors, Journal of Geometry and Physics, Vol 91, (2015) pp. 12-28.

  5. (with S. Montiel and S. Raulot) On a Liu-Yau type inequality for surfaces, Pacific Journal of Mathematics, Vol 272 (1), (2014) pp. 177-199.

  6. (with S. Montiel) Supersymmetric rigidity of asymptotically locally hyperbolic manifolds, International Journal of Mathematics Vol. 25, No. 3, (2014) 1450020 (25 pages).

  7. (with S. Montiel) Uniqueness of the AdS spacetime among static vacua with prescribed null infinity, Advances in Theoretical and Mathematical Physics, Volume 18, Number 1, (2014) pp. 177-203. arXiv:1211.5651

  8. (with S. Montiel) A holographic principle for the existence of parallel spinor fields and an inequality of Shi-Tam type, Asian Journal of Mathematics , Volume 18, Number 3, (2014) pp. 489-506.

  9. (with S. Montiel) A spinorial characterization of Hyperspheres, Calculus of Variations and PDE's (2013) 48:527-544.

  10. (with Daguang Chen and Xiao Zhang) The Dirac-Witten operator on pseudo-Riemannian manifolds, Math. Z. (2012) 271:357-372.

  11. (with S. Raulot) Branson's Q-curvature in Riemannian and Spin Geometry, SIGMA 3 (2007), 119, 14 pages Preprint IÉCN 2007/40

  12. (with S. Montiel and F. Urbano) Spin$^c$ geometry of Kähler manifolds and the Hodge Laplacian on minimal Lagrangian submanifolds, Math. Z. 253, Number 4 (2006) 821--853 Preprint IÉCN 2002/34

  13. Clifford Algebras and Spinor Representations, Proc. Summer School and Workshop : Dirac Operators, Yesterday and Today, CAMS-AUB, Lebanon, J.-P. Bourguignon et al (Eds.) International Press (2005) 27--43.

  14. (with S. Montiel and A. Roldán) Dirac operators on hypersurfaces of manifolds with negative scalar curvature, Ann. Global Anal. Geom. 23 (2003) 247--264. Preprint IÉCN 2002/34

  15. (with S. Montiel) Extrinsic Killing Spinors, Math. Z. 244 (2003) 337--347. Preprint IÉCN 2002/05

  16. (with X. Zhang) The Dirac-Witten Operator on Spacelike Hypersurfaces, Commun. Anal. Geom. 11 No. 4 (2003) 737-750. Preprint IÉCN 2001/49

  17. (with S. Montiel and A. Roldán) Eigenvalue Boundary Problems for the Dirac Operator, Commun. Math. Phys. 231 No. 3 (2002) 375--390. Preprint IÉCN 2001/60

  18. (with S. Montiel and X. Zhang) Conformal Lower Bounds for the Dirac Operator of Embedded Hypersurfaces, Asian J. Math. 6 No. 1 (2002) 23--36. Preprint IÉCN 2000/47

  19. (with T. Branson) Bochner-Weitzenböck formulas associated with the Rarita-Schwinger operator, Intern. Jour. Math. 13, No. 2 (2002) 137-182.

  20. (with M. Bordoni) Eigenvalues of the Kählerian Dirac Operator, Letters Math. Phys. 58, (1) (2001) 7--20.

  21. (with S. Montiel and X. Zhang) Eigenvalues of the Dirac Operator on Manifolds with Boundary, Commun. Math. Phys. 221, (2001) 255-265.

  22. (with S. Montiel and X. Zhang) Dirac Operator on Embedded Hypersurfaces, Math. Res. Letters 8, (2001) 195--208. Preprint IÉCN 2000/37

  23. (with X. Zhang) Lower bounds for the Eigenvalues of the Dirac Operator, Part II. The Submanifold Dirac Operator, Ann. Global Anal. Geom. 19, (2001) 163--181. Preprint IÉCN 2000/29

  24. (with X. Zhang) Lower bounds for the Eigenvalues of the Dirac Operator, Part I. The Hypersurface Dirac Operator, Ann. Global Anal. Geom. 19, (2001) 355--376. Preprint IÉCN 2000/23

  25. Spectral Properties of the Dirac Operator and Geometrical Structures, Proceedings of the Summer School on Geometric Methods in Quantum Field Theory, Villa de Leyva, Colombia, July 12--30, (1999), World Scientific 2001.

  26. (with T. Branson) Improved Forms of some Vanishing Theorems in Riemannian Spin Geometry, Intern. Jour. Math. 11, No. 3 (2000) 291--304.

  27. (with J.P. Bourguignon and T. Branson, Editors) Séminaires et Congrès 4, Global Analysis and Harmonic Analysis, (2000).

  28. (with T. Branson) Vanishing Theorems and Eigenvalue Estimates in Riemannian Spin Geometry, Intern. Jour. Math. 8, No. 7 (1997) 921--934.

  29. (with J.-L. Milhorat) Twistor Operators and Eigenvalues of the Dirac Operator on Compact Quaternionic Spin Manifolds, Ann. Global Anal. Geom. 15, (1997) 117--131.

  30. Twistor Operators and Eigenvalues of the Dirac Operator, Proceedings of the Conference on Quaternionic-Kähler Geometry, Trieste (1994).

  31. (with J.-L. Milhorat) Minoration des Valeurs Propres de l'Opérateur de Dirac sur les Variétés Spin Kähler-Quaternioniennes, J. Math. Pures Appl. 74, (1995) 387--414.

  32. (with J.-L. Milhorat) Décomposition du fibré des spineurs d'une variété spin kähler-quaternionnienne sous l'action de la 4-forme fondamentale, J. Geom. Phys. 15, (1995) 320--332.

  33. Lower bounds for Eigenvalues of the Dirac Operator, J. Geom. Phys. 16, (1995) 27--38.

  34. Eigenvalues of the Dirac Operator on Compact Kähler Manifolds, Commun. Math. Phys. 160, (1994) 563--579.

  35. Killing Spinors and Eigenvalues of the Dirac Operator, Proceedings of Symposia in Pure Mathematics 54, Part 2 (1993) 325--329.

  36. Habilitation à diriger des Recherches : Propriétés Spectrales de l'Opérateur de Dirac, Université de Nantes (1992).

  37. Première valeur propre de l'opérateur de Dirac et nombre de Yamabe, C. R. Acad. Sci. Paris 313, Série I (1991) 865--868.

  38. (with A. Lichnerowicz) Spineurs harmoniques, spineurs-twisteurs et géométrie conforme, C. R. Acad. Sci. Paris 307, Série I (1988) 833--838.

  39. Caractérisation de la sphère par les premières valeurs propres de l'opérateur de Dirac en dimensions 3, 4, 7 et 8, C. R. Acad. Sci. Paris 303, Série I (1986) 417--419.

  40. A conformal Lower Bound for the Smallest Eigenvalue of the Dirac Operator and Killing Spinors, Commun. Math. Phys. 104, (1986) 151--162.

  41. Thèse de 3ème Cycle, Opérateurs de Dirac sur les variétés riemanniennes : minoration des valeurs propres, Directeur de Thèse : Jean Pierre Bourguignon, École Polytechnique-Paris VI (1984).


Oussama Hijazi
Last modified: September 14, 2015