@unpublished{BaerGinoux2012, author = {B{\"a}r, Christian and Ginoux, Nicolas}, title = {Classical and quantum fields on Lorentzian manifolds}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-59973}, year = {2012}, abstract = {We construct bosonic and fermionic locally covariant quantum fields theories on curved backgrounds for large classes of fields. We investigate the quantum field and n-point functions induced by suitable states.}, language = {en} } @article{Ginoux2004, author = {Ginoux, Nicolas}, title = {Dirac operators on Lagrangian submanifolds}, year = {2004}, abstract = {We study a natural Dirac operator on a Lagrangian submanifold of a K{\"a}hler manifold. We first show that its square coincides with the Hodge-de Rham Laplacian provided the complex structure identifies the Spin structures of the tangent and normal bundles of the submanifold. We then give extrinsic estimates for the eigenvalues of that operator and discuss some examples.}, language = {en} } @misc{Ginoux2004, author = {Ginoux, Nicolas}, title = {Dirac operators on Lagrangian submanifolds}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-5627}, year = {2004}, abstract = {We study a natural Dirac operator on a Lagrangian submanifold of a K{\"a}hler manifold. We first show that its square coincides with the Hodge - de Rham Laplacian provided the complex structure identifies the Spin structures of the tangent and normal bundles of the submanifold. We then give extrinsic estimates for the eigenvalues of that operator and discuss some examples.}, language = {en} } @misc{GinouxHabib2008, author = {Ginoux, Nicolas and Habib, Georges}, title = {Geometric aspects of transversal Killing spinors on Riemannian flows}, series = {Postprints der Universit{\"a}t Potsdam : Mathematisch Naturwissenschaftliche Reihe}, journal = {Postprints der Universit{\"a}t Potsdam : Mathematisch Naturwissenschaftliche Reihe}, number = {867}, issn = {1866-8372}, doi = {10.25932/publishup-43478}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-434783}, pages = {69 -- 90}, year = {2008}, abstract = {We study a Killing spinor type equation on spin Riemannian flows. We prove integrability conditions and partially classify those flows carrying non-trivial solutions.}, language = {en} } @article{Ginoux2003, author = {Ginoux, Nicolas}, title = {Remarques sur le spectre de l'op{\´e}rateur de Dirac}, year = {2003}, abstract = {We describe a new family of examples of hypersurfaces in the sphere satisfying the limiting-case in C. B{\"a}r's upper bound for the smallest eigenvalue of the Dirac operator.}, language = {fr} } @misc{Ginoux2003, author = {Ginoux, Nicolas}, title = {Remarques sur le spectre de l'op{\´e}rateur de Dirac}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-5630}, year = {2003}, abstract = {Nous d{\´e}crivons un nouvelle famille d'exemples d'hypersurfaces de la sph{\`e}re satisfaisant le cas d'{\´e}galit{\´e} de la majoration extrins{\`e}que de C. B{\"a}r de la plus petite valeur propre de l'op{\´e}rateur de Dirac.}, language = {fr} } @misc{Ginoux2003, author = {Ginoux, Nicolas}, title = {Une nouvelle estimation extrins{\`e}que du spectre de l'op{\´e}rateur de Dirac}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-5644}, year = {2003}, abstract = {Nous {\´e}tablissons une nouvelle majoration optimale pour les plus petites valeurs propres de l'op{\´e}rateur de Dirac sur une hypersurface compacte de l'espace hyperbolique.}, language = {fr} } @book{BaerGinouxPfaeffle2007, author = {B{\"a}r, Christian and Ginoux, Nicolas and Pf{\"a}ffle, Frank}, title = {Wave equations on lorentzian manifolds and quantization}, publisher = {European Math. Society}, address = {Z{\"u}rich}, isbn = {978-3-03719-037-1}, pages = {194 S.}, year = {2007}, language = {en} }