The spectrum of the Laplace operator for a spherical space form
Si determina lo spettro di un operatore di Laplace di una «spherical space form» e si studia l’influenza di tale spettro su .
The spectrum of the Laplace operator on conformally flat manifolds
The spectrum of the Laplacian on the warped products of Riemannian manifolds.
The spectrum of the symmetric space SP()/SU().
The Srní lectures on non-integrable geometries with torsion
This review article intends to introduce the reader to non-integrable geometric structures on Riemannian manifolds and invariant metric connections with torsion, and to discuss recent aspects of mathematical physics—in particular superstring theory—where these naturally appear. Connections with skew-symmetric torsion are exhibited as one of the main tools to understand non-integrable geometries. To this aim a a series of key examples is presented and successively dealt with using the notions of...
The State Space of the K0-group of a Simple Separable C*-algebra.
The statistical equilibrium of an isotropic stochastic flow with negative Lyapounov exponents is trivial
The Strong Rigidity of Locally Symmetric Complex Manifolds of Rank One and Finite Volume.
The structure and limiting behavior of locally optimal minimizers
The structure of smooth mappings over Weil algebras and the category of manifolds over algebras.
The structure of tangentors and their morphisms
The structure of the critical set in the general mountain pass principle
The structure of the cut locus in dimension less than or equal to six
The super complex Frobenius theorem
We formulate and prove a super analogue of the complex Frobenius theorem of Nirenberg.
The Supetrace on the Grassmann envelope M(m,n;Λ)
The symbol of a function of a pseudo-differential operator
We give an explicit formula for the symbol of a function of an operator. Given a pseudo-differential operator on with symbol and a smooth function , we obtain the symbol of in terms of . As an application, Bohr-Sommerfeld quantization rules are explicitly calculated at order 4 in .
The symbol of a lagrangian distribution
The symmetry of minimizing harmonic maps from a two dimensional domain to the sphere
The symplectic geometry of affine connenctions on surfaces.
The tangent bundle of an almost-complex free loopspace.