TY  - JOUR
A1  - Ginoux, Nicolas
T1  - Dirac operators on Lagrangian submanifolds
N2  - We study a natural Dirac operator on a Lagrangian submanifold of a Kähler 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.
Y1  - 2004
UR  - http://users.math.uni-potsdam.de/~ginoux/SousvLagr_v4.pdf
ER  - 
TY  - JOUR
A1  - Ginoux, Nicolas
T1  - Remarques sur le spectre de l'opérateur de Dirac
N2  - We describe a new family of examples of hypersurfaces in the sphere satisfying the limiting-case in C. Bär's upper bound for the smallest eigenvalue of the Dirac operator.
Y1  - 2003
UR  - http://www.math.uni-potsdam.de/~ginoux/EgBaer.pdf
ER  - 
TY  - BOOK
A1  - Bär, Christian
A1  - Ginoux, Nicolas
A1  - Pfäffle, Frank
T1  - Wave equations on lorentzian manifolds and quantization
Y1  - 2007
SN  - 978-3-03719-037-1
PB  - European Math. Society
CY  - Zürich
ER  -