@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} } @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} }