--- differential groupoids,
--- principal bundles,
--- vector bundles,
--- actions of Lie groups on manifolds,
--- transversally complete foliations,
--- nonclosed Lie subgroups,
--- Poisson manifolds,
--- some complete closed pseudogroups.
We carry over the idea of Bott's Vanishing Theorem to regular Lie algebroids (using the Chern-Weil homomorphism of transitive Lie algebroids investigated by the author) and, next, apply it to new situations which are not described by the classical version, for example, to the theory of transversally complete foliations and nonclosed Lie subgroups in order to obtain some topological obstructions for the existence of involutive distributions and Lie subalgebras of some types (respectively).
R´ESUMÉ. Dans cet article, on calcule le comportement de métrique de Quillen par immersions d'orbifold. On étend ainsi une formule de Bismut-Lebeau au cas d'orbifold.
We prove an endpoint Strichartz estimate for radial solutions of the two-dimensional Schrödinger equation:
An efficient algorithm is given for the resolution of relative Thue equations. The essential improvement is the application of an appropriate version of Wildanger's enumeration procedure based on the ellipsoid method of Fincke and Pohst.
Recently relative Thue equations have gained an important application, e.g., in computing power integral bases in algebraic number fields. The presented methods can surely be used to speed up those algorithms.
The method is illustrated by numerical examples.
converges to a period two solution.
(a) Each indecomposable injective has a simple subobject.
(b) The category is equivalent to the category of socle-finitely copresented right comodules over a right semiperfect and right cocoherent coalgebra such that each simple right comodule is socle-finitely copresented.
(c) The category has left almost split sequences.
We give explicit upper bounds for linear trigonometric sums over primes.
Using the extender sequences, we show how to combine the Gitik-Magidor forcing for adding many Prikry sequences with Radin forcing.
We show that this forcing satisfies a Prikry-like condition, destroys no cardinals, and has a kind of properness.
Depending on the large cardinals we start with, this forcing can blow the power of a cardinal together with changing its cofinality to a prescribed value. It can even blow the power of a cardinal while keeping it regular or measurable.
We combine standard arguments to give a shorter proof of Ellentuck's Theorem.
For a new axiomatization, with fewer and weaker assumptions, of binary rank-dependent expected utility of gambles the solution of the functional equation
is needed under some monotonicity and surjectivity conditions. We furnish the general such solution and also the solutions under weaker suppositions. In the course of the solution we also determine all sign preserving solutions of the related general equation
We show that there is no Erdös-Sierpinski mapping preserving addition.
We determine the consistency strength of some model theoretic extension properties for cardinals.
We prove that every finitely generated group acts effectively on the universal Menger curve.
The structure of certain equimultiple good ideals in Gorenstein local rings obtained by idealization is explored.
We present several new results about the notion of finite representability of operators introduced by Bellenot.
We give a short proof of Wojdyslawski's famous theorem.
It is shown that submultiplicative inequalities for spectral radii often imply supermultiplicative inequalities, and vice versa.
In 1975 one of the coauthors, Ikebe, showed that the problem of computing the zeros of the regular Coulomb wave functions and their derivatives may be reformulated as the eigenvalue problem for infinite matrices. Approximation by truncation is justified but no error estimates are given there.
The class of eigenvalue problems studied there turns out to be subsumed in a more general problem studied by Ikebe et al. in 1993, where an extremely accurate asymptotic error estimate is shown.
In this paper, we apply this error formula to the former case to obtain error formulas in a closed, explicit form.
Extensions and variants are given for the well-known comparison principle for Gaussian processes based on ordering by pairwise distance.
This note concerns itself with a theory of characteristic classes for those complex bundles whose real reductions are trivial.