Search results for "53"
showing 10 items of 2908 documents
Serve ancora ucidere i tiranni? A proposito di Ps. Quint. decl. min. 253
2018
The paper deals with Ps. Quint. decl. min. 253; in the text, concerning one of the best-known themes of the declamatory literature, a tyrannicide, after killing a tyrant, asks the community for approval of a rogatio in order to be sent to the tyrant of the nearby city. The declamation focuses on a hero willing to put the salvation of the community before his own, a theme certainly usual in Latin thought, but which traces new interpretative ways in the declamatory culture.
Endeudamiento municipal en la región de Lleida a finales del siglo XVII
2018
Este articulo quiere analizar la evolución del endeudamiento de los municipios de la región económica de Lleida a finales del siglo XVII para poner de relieve no solo el enorme peso que este tuvo sobre los municipios catalanes de los siglos modernos, sino también el efecto que causó la expansión económica de los años previos a la guerra de Sucesión sobre esta deuda. Durante los años estudiados hemos podido observar una mejora evidente sobre el nivel de endeudamiento comunal, pero también la persistencia de problemas crónicos en las finanzas municipales. In this paper is analyzed the municipal debt evolution of the Lleida region during the late seventeenth century. It highlights the importan…
Sub-Finsler Horofunction Boundaries of the Heisenberg Group
2020
We give a complete analytic and geometric description of the horofunction boundary for polygonal sub-Finsler metrics---that is, those that arise as asymptotic cones of word metrics---on the Heisenberg group. We develop theory for the more general case of horofunction boundaries in homogeneous groups by connecting horofunctions to Pansu derivatives of the distance function.
Some geometric consequences of the Weitzenböck formula on Riemannian almost-product manifolds; weak-harmonic distributions
1988
On demontre des consequences geometriques obtenues a partir de certaines relations lineaires entre invariants lineaires de variete de Riemann presque-produit. On definit et on etudie des distributions faible-harmoniques
Invariant Markov semigroups on quantum homogeneous spaces
2019
Invariance properties of linear functionals and linear maps on algebras of functions on quantum homogeneous spaces are studied, in particular for the special case of expected coideal *-subalgebras. Several one-to-one correspondences between such invariant functionals are established. Adding a positivity condition, this yields one-to-one correspondences of invariant quantum Markov semigroups acting on expected coideal *-subalgebras and certain convolution semigroups of states on the underlying compact quantum group. This gives an approach to classifying invariant quantum Markov semigroups on these quantum homogeneous spaces. The generators of these semigroups are viewed as Laplace operators …
Universal differentiability sets and maximal directional derivatives in Carnot groups
2019
We show that every Carnot group G of step 2 admits a Hausdorff dimension one `universal differentiability set' N such that every real-valued Lipschitz map on G is Pansu differentiable at some point of N. This relies on the fact that existence of a maximal directional derivative of f at a point x implies Pansu differentiability at the same point x. We show that such an implication holds in Carnot groups of step 2 but fails in the Engel group which has step 3.
Local Gromov-Witten invariants are log invariants
2019
We prove a simple equivalence between the virtual count of rational curves in the total space of an anti-nef line bundle and the virtual count of rational curves maximally tangent to a smooth section of the dual line bundle. We conjecture a generalization to direct sums of line bundles.
On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups.
2021
AbstractThis note is concerned with the geometric classification of connected Lie groups of dimension three or less, endowed with left-invariant Riemannian metrics. On the one hand, assembling results from the literature, we give a review of the complete classification of such groups up to quasi-isometries and we compare the quasi-isometric classification with the bi-Lipschitz classification. On the other hand, we study the problem whether two quasi-isometrically equivalent Lie groups may be made isometric if equipped with suitable left-invariant Riemannian metrics. We show that this is the case for three-dimensional simply connected groups, but it is not true in general for multiply connec…
Characterisation of upper gradients on the weighted Euclidean space and applications
2020
In the context of Euclidean spaces equipped with an arbitrary Radon measure, we prove the equivalence among several different notions of Sobolev space present in the literature and we characterise the minimal weak upper gradient of all Lipschitz functions.
Weyl's Theorems and Extensions of Bounded Linear Operators
2012
A bounded operator $T\in L(X)$, $X$ a Banach space, is said to satisfy Weyl's theorem if the set of all spectral points that do not belong to the Weyl spectrum coincides with the set of all isolated points of the spectrum which are eigenvalues and having finite multiplicity. In this article we give sufficient conditions for which Weyl's theorem for an extension $\overline T$ of $T$ (respectively, for $T$) entails that Weyl's theorem holds for $T$ (respectively, for $\overline T$).