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  - 
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  - GEN
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.
KW  - Dirac operators
KW  - Global Analysis
KW  - Spectral Geometry
KW  - Spin Geometry
KW  - Lagrangian submanifolds
Y1  - 2004
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-5627
ER  - 
TY  - GEN
A1  - Ginoux, Nicolas
T1  - Remarques sur le spectre de l'opérateur de Dirac
T1  - Remarks on the spectrum of the Dirac operator
N2  - Nous décrivons un nouvelle famille d'exemples d'hypersurfaces de la sphère satisfaisant le cas d'égalité de la majoration extrinsèque de C. Bär de la plus petite valeur propre de l'opérateur de Dirac.
N2  - We describe a new family of examples of hypersurfaces in the sphere satisfying the limitingcase in C. Bär's extrinsic upper bound for the smallest eigenvalue of the Dirac operator.
KW  - 1st Eigenvalue
KW  - Submanifolds
KW  - Bounds
KW  - Space
Y1  - 2003
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-5630
ER  - 
TY  - GEN
A1  - Ginoux, Nicolas
T1  - Une nouvelle estimation extrinsèque du spectre de l'opérateur de Dirac
T1  - A new extrinsic estimate for the spectrum of the Dirac operator
N2  - Nous établissons une nouvelle majoration optimale pour les plus petites valeurs propres de l'opérateur de Dirac sur une hypersurface compacte de l'espace hyperbolique.
N2  - We prove a new upper bound for the smallest eigenvalues of the Dirac operator on a compact hypersurface of the hyperbolic space.
KW  - bounds
KW  - Eigenvalues
Y1  - 2003
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-5644
ER  - 
TY  - INPR
A1  - Bär, Christian
A1  - Ginoux, Nicolas
T1  - Classical and quantum fields on Lorentzian manifolds
N2  - 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.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)15 
KW  - Wave operator
KW  - Dirac-type operator
KW  - globally hyperbolic spacetime
KW  - Green's operator
KW  - CCR-algebra
Y1  - 2012
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-59973
ER  - 
TY  - GEN
A1  - Ginoux, Nicolas
A1  - Habib, Georges
T1  - Geometric aspects of transversal Killing spinors on Riemannian flows
T2  - Postprints der Universität Potsdam : Mathematisch Naturwissenschaftliche Reihe
N2  - We study a Killing spinor type equation on spin Riemannian flows. We prove integrability conditions and partially classify those flows carrying non-trivial solutions.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 867 
KW  - foliations
KW  - spin geometry
KW  - 53C12
KW  - 53C27
Y1  - 2020
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-434783
SN  - 1866-8372
IS  - 867
SP  - 69
EP  - 90
ER  -