Universal Families of C°°-Functions on D2.
Universal lifting theorem and quasi-Poisson groupoids
We prove the universal lifting theorem: for an -simply connected and -connected Lie groupoid with Lie algebroid , the graded Lie algebra of multi-differentials on is isomorphic to that of multiplicative multi-vector fields on . As a consequence, we obtain the integration theorem for a quasi-Lie bialgebroid, which generalizes various integration theorems in the literature in special cases. The second goal of the paper is the study of basic properties of quasi-Poisson groupoids. In particular,...
Universal prolongation of linear partial differential equations on filtered manifolds
The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type. This leads immediately to obstructions to the existence of solutions. Moreover, we will deduce that the solution space of such equations is always finite dimensional.
Universal -differential calculus and -analog of homological algebra.
Universal topological stratification for the Pham example
Universelle Familien differenzierbarer Funktionen auf der Kreislinie.
Unstable Solutions of the Euler Equations of Certain Variational Problems.
Untere Schranken für den ersten Eigenwert des Laplace-Operators auf kompakten Riemannschen Flächen.
Untersuchungen in Betreff der ganzen homogenen Functionen von n Differentialen.
Upper bound for the first eigenvalue of algebraic submanifolds.
Upper bound for the number of eigenvalues for nonlinear operators
Upper bound for the number of eigenvalues for nonlinear operators (Preliminary communication)
Upper bounds for the number of resonances on geometrically finite hyperbolic manifolds
On geometrically finite hyperbolic manifolds , including those with non-maximal rank cusps, we give upper bounds on the number of resonances of the Laplacian in disks of size as . In particular, if the parabolic subgroups of satisfy a certain Diophantine condition, the bound is .
Upper critical field and location of surface nucleation of superconductivity