By using spectral expansions in global automorphic Levi–Sobolev spaces, we estimate an average of the first Fourier coefficients of Maass cusp forms for SL2(Z), producing a soft estimate on the first numerical Fourier coefficients of Maass cusp forms, which is an example of a general technique for estimates on compact periods via application of a pre–trace formula. Incidentally, this shows that...

Let M be an irreducible projective variety over an algebraically closed field k of characteristic zero equipped with an action of a group Γ. Let EG be a principal G–bundle over M , where G is a connected reductive algebraic group over k, equipped with a lift of the action of Γ on M . We give conditions for EG to admit a Γ–equivariant reduction of structure group to H , where H ⊂ G is a Levi sub...

This paper discusses the extent to which one can determine the space-time metric from a knowledge of a certain subset of the (unparametrised) geodesics of its Levi-Civita connection, that is, from the experimental evidence of the equivalence principle. It is shown that, if the space-time concerned is known to be vacuum, then the Levi-Civita connection is uniquely determined and its associated m...

The underlying success of logistics depends on the flow of data and information for effective management. Since the 1960’s, the decreasing cost of computer hardware, the development and application of sophisticated mathematical models, and the advent of low cost data collection methods such as bar codes, all have combined to drastically improve temporal and spatial utility (Coyle, Bardi, and La...

We give, in this paper, a monotonicity formula for the Chern-Moser-Weyl curvature tensor under the action of holomorphic embeddings between Levi non-degenerate hypersurfaces with the same positive signature. As an application, we provide some concrete examples of algebraic Levi non-degenerate hypersurfaces with positive signature that are not embeddable into a hyperquadric of the same signature...

Abstract. We prove integral formulas for closed hypersurfaces in C, which furnish a relation between elementary symmetric functions in the eigenvalues of the complex Hessian matrix of the defining function and the Levi curvatures of the hypersurface. Then we follow the Reilly approach to prove an isoperimetric inequality. As an application, we obtain the “Soap Bubble Theorem” for starshaped dom...

We investigate holomorphic webs tangent to real-analytic Levi-flat hypersurfaces on compact complex surfaces. Under certain conditions, we prove that a web hypersurface admits multiple-valued meromorphic first integral. also the Levi foliation of induced by an irreducible curve in Grassmannian G(n+1,n) extends algebraic projective space.

Given the Finsler structure (M, F) on a manifold M, a Riemannian structure (M, h) and a linear connection on M are defined. They are obtained as the " average " of the Finsler structure and the Chern connection. This linear connection is the Levi-Civita connection of the Riemannian metric h. The relation between parallel transport of the Chern connection and the Levi-Civita connection of h are ...

3 • To understand the work of Giorgio Levi on the semantics of logic programming languages for static analysis • By reconstructing the semantics of Resolution-based/ Logic Programming... ...by abstract interpretations of a concrete semantics ...chosen to be a branching-time trace-based semantics (built from a state transition system) • In passing, we get some novel semantics that tackle impure ...

Preliminary results concerning non-quadratic (and non-bijective) transformations that exibit a degree of parentage with the well known Levi-Civita, Kustaanheimo-Stiefel, and Fock transformations are reported in this article. Some of the new transformations are applied to non-relativistic quantum dynamical systems in two dimensions.