QCH Kähler manifolds with κ = 0
The aim of this paper is to describe all Kähler manifolds with quasi-constant holomorphic sectional curvature with κ = 0.
QR-hypersurfaces of quaternionic Kähler manifolds.
Quadratic Divergence of Geodesics in CAT (0) Spaces.
Quadric hypersurfaces of finite type
Quadric representation and Clifford minimal hypersurfaces.
Quand deux sous-variétés sont forcées par leur géométrie à se rencontrer
Quantification de certains espaces hermitiens symétriques
Quantification d'une variété symplectique
Quantification géométrique : théorie et exemples
Quantification pour les paires symétriques et diagrammes de Kontsevich
In this article we use the expansion for biquantization described in [7] for the case of symmetric spaces. We introduce a function of two variables for any symmetric pairs. This function has an expansion in terms of Kontsevich’s diagrams. We recover most of the known results though in a more systematic way by using some elementary properties of this function. We prove that Cattaneo and Felder’s star product coincides with Rouvière’s for any symmetric pairs. We generalize some of Lichnerowicz’s...
Quantitative Bloch's theorem for certain classes of holomorphic mappings of the ball into Pn (C).
Quantization on submanifolds
Quantum Equivalent Magnetic Fields that Are Not Classically Equivalent
We construct pairs of compact Kähler-Einstein manifolds of complex dimension with the following properties: The canonical line bundle has Chern class , and for each positive integer the tensor powers and are isospectral for the bundle Laplacian associated with the canonical connection, while and – and hence and – are not homeomorphic. In the context of geometric quantization, we interpret these examples as magnetic fields which are quantum equivalent but not classically equivalent....
Quantum principal bundles and their characteristic classes
A general theory of characteristic classes of quantum principal bundles is presented, incorporating basic ideas of classical Weil theory into the conceptual framework of noncommutative differential geometry. A purely cohomological interpretation of the Weil homomorphism is given, together with a geometrical interpretation via quantum invariant polynomials. A natural spectral sequence is described. Some interesting quantum phenomena appearing in the formalism are discussed.
Quarter pinched homogeneous spaces of negative curvature
Quartic isoparametric hypersurfaces and quadratic forms.
Quasiconformal equivalence of spherical CR manifolds.
Quasiconformal mappings and asymptotic geometry of manifolds.
Quasiconformal mappings on the Heisenberg group.
Quasiconformality in the Geodesic Flow of Negatively Curved Manifolds.