PUBLICATIONS

PUBLICATIONS


PUBLICATIONS

  1. Rigidity results for Riemannian Spinc manifolds with foliated boundary, (with Fida El Chami , Nicolas Ginoux and George Habib), to appear in Results in Mathematics, Chien

  2. Complex and Lagrangian surfaces of the complex projective plane via Kählerian Killing Spinc spinors (with Julien Roth), J. Geom. Phys. 116 (2017) 316-329, Chien

  3. Rigidity results for Riemannian Spin manifolds with foliated boundary, (with Fida El Chami , Nicolas Ginoux and George Habib), J. Geom. 107 (2016), 533–555, Chien

  4. Lower bounds for the eigenvalues of the Spinc Dirac operator on manifolds with boundary, (with Julien Roth), Comptes-rendus-Mathématique Vol 354 no 4 (2016), pp 425-431. Chien

  5. Eigenvalue estimates of the Spinc Dirac operator and harmonic forms on Kähler-Einstein manifolds, (with Mihaela Pilca), SIGMA 11 (2015), 54, 15 pages. Chien

  6. Riemannian foliations with parallel or harmonic basic forms, (with Fida El Chami and George Habib), Archivum Mathematicum (BRNO), Tomus 51, 2015, pp. 51–65. Chien

  7. Lower bounds for the eigenvalues of the Spinc Dirac operator on submanifolds, (with Julien Roth), Archiv der Mathematik, Volume 104, Issue 5 (2015), pp 451-461.

  8. Complex Generalized Killing spinors on Riemannian Spinc manifolds, (with Nadine Große), Results in Mathematics, Vol. 67, Issue 1 (2015), 177-195. Chien

  9. Boundary value problems for noncompact boundaries of Spinc manifolds and spectral estimates, (with Nadine Große), Proc. London Math. Soc. (3) 109 (2014), 946-974. Chien

  10. The twisted Spinc Dirac operator on Kähler submanifolds of the complex projective space, (with George Habib), Journal of Geometry and Physics, 77 (2014), pp. 43-47. Chien

  11. The Spinc Dirac operator on hypersurfaces and applications (with Julien Roth), Differential Geometry and its Applications, 31 (2013), 93-103. Chien

  12. Hypersurfaces of Spinc manifolds and Lawson type correspondence (with Julien Roth), Annals of Global Analysis and Geometry, Vol. 42, No. 3 (2012), 421-442. Chien

  13. The energy-momentum tensor on low dimensional Spinc manifolds, (with George Habib), International Journal of Mathematics, Vol. 23, No. 9, 2012. Chien

  14. The Hijazi inequalities on complete Riemannian Spinc manifolds, Advances in Mathematical Physics, Vol. 2011, Article ID 471810, doi:10.1155/2011/471810. Chien

  15. The energy-momentum tensor on Spinc manifolds, International Journal of Geometric Methods in Modern Physics, Vol. 8, No. 2 (2011), 345-365. Chien

  16. Lower bounds for the eigenvalues of the Dirac operator on Spinc manifolds, Journal of Geometry and Physics, 60 (2010), 1634-1642.Chien

THESIS
  1. Special submanifolds of Spinc manifolds Chien. Thesis advisor: Oussama Hijazi

  2. My thesis presentation Chien(9 May 2011).

MINI COURSES
  1. Spinc structures on manifolds and geometric applications, a mini-course given in October 2011 at the Max Planck Institute for Mathematics, Bonn-Germany. Chien

VARIOUS
  1. Spinc structures on submanifolds (in french), an attempt of vulgarization of my work (in poster)....just an attempt.Chien