@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} } @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{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 We then give extrinsic estimates for the eigenvalues of that operator and discuss some examples.}, language = {en} } @unpublished{BaerGinoux2012, author = {B{\"a}r, Christian and Ginoux, Nicolas}, title = {Classical and quantum fields on Lorentzian manifolds}, url =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} }