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We investigate weak approximation away from a finite set of places for a class of biquadratic fourfolds inside $\mathbb{P}^3 \times \mathbb{P}^2$, some of which appear in the recent work of Hassett--Pirutka--Tschinkel.

Algebraic Geometry · Mathematics 2025-03-07 Nick Rome

We study the differential geometric properties of the manifold of non-singular symmetric real matrices endowed with the trace metric; in case of positive definite matrices we describe the full group of isometries

Differential Geometry · Mathematics 2018-07-04 Alberto Dolcetti , Donato Pertici

First we introduce a generalization of symmetric spaces to parabolic geometries. We provide construction of such parabolic geometries starting with classical symmetric spaces and we show that all regular parabolic geometries with smooth…

Differential Geometry · Mathematics 2012-07-30 Jan Gregorovič

Based on the concept of unbounded absolutely weakly convergence, we give new characterizations of L-weakly compact sets. As applications, we find some properties of order weakly compact operators. Also, a new characterizations of order…

Functional Analysis · Mathematics 2020-05-05 Hassan Khabaoui , Jawad H'michane , Kamal El Fahri

In this paper we provide mixed weak type inequalities generalizing previous results in an earlier work by Caldarelli and the second author and also in the spirit of earlier results by Lorente, Martell, P\'erez and Riveros. One of the main…

Classical Analysis and ODEs · Mathematics 2022-07-27 Gonzalo H. Ibañez-Firnkorn , Israel P. Rivera-Ríos

We complete our recent classification of compact inner symmetric spaces with weakly complex tangent bundle by filling up a case which was left open, and extend this classification to the larger category of compact homogeneous spaces with…

Differential Geometry · Mathematics 2019-01-08 Andrei Moroianu , Uwe Semmelmann

We explicitly construct small triangulations for a number of well-known 3-dimensional manifolds and give a brief outline of some aspects of the underlying theory of 3-manifolds and its historical development.

Geometric Topology · Mathematics 2007-05-23 Frank H. Lutz

We consider asymptotic dimension of coarse spaces. We analyse coarse structures induced by metrisable compactifications. We calculate asymptotic dimension of coarse cell complexes. We calculate the asymptotic dimension of certain negatively…

Metric Geometry · Mathematics 2007-05-23 Bernd Grave

We study the basic geometric properties of an indefinite locally conformal Kaehler manifold.

Differential Geometry · Mathematics 2007-05-23 Sorin Dragomir , Krishan L. Duggal

We analyze general structure of N-fold supersymmetry which provides a systematic framework to construct weakly quasi-solvable quantum mechanical systems. Main ingredients of our analysis are dimensional analysis and introduction of an…

Mathematical Physics · Physics 2011-11-03 Toshiaki Tanaka

Weakly centered and spectrally weakly cenetered weighted composition operators in $L^2$-spaces are characterized. Criteria for existence of invariant subspaces are given. Additional results and examples are supplied.

Functional Analysis · Mathematics 2025-10-23 Piotr Budzyński

Several characterizations of weak cotype 2 and weak Hilbert spaces are given in terms of basis constants and other structural invariants of Banach spaces. For finite-dimensional spaces, characterizations depending on subspaces of fixed…

Functional Analysis · Mathematics 2009-09-25 P. Mankiewicz , Nicole Tomczak-Jaegermann

This paper aims to study the dual of an extended locally convex space. In particular, we study the weak and weak* topologies as well as the topology of uniform convergence on bounded subsets of an extended locally convex space. As an…

Functional Analysis · Mathematics 2023-01-10 Akshay Kumar , Varun Jindal

We study the notions of weak partial $b$-metric space and weak partial Hausdorff $b$-metric space. Moreover, we intend to generalize Nadler's theorem in weak partial $b$-metric space by using weak partial Hausdorff $b$-metric spaces. A…

General Topology · Mathematics 2018-11-20 Tanzeela Kanwal , Azhar Hussain

The paper presents geometric models for the set WO of weak orders on a finite set. In particulary, WO is modeled as a set of vertices of a cubical subdivision of a permutahedron. This approach is an alternative to the usual representation…

Combinatorics · Mathematics 2007-05-23 Sergei Ovchinnikov

We introduce and discuss (local) symmetries of geometric structures. These symmetries generalize the classical (locally) symmetric spaces to various other geometries. Our main tools are homogeneous Cartan geometries and their explicit…

Differential Geometry · Mathematics 2012-07-03 Jan Gregorovič

These lectures contain an introduction to the theory and practice of weak-scale supersymmetry. They begin with a discussion of the hierarchy problem and the motivation for weak-scale supersymmetry. They continue by developing the coset…

High Energy Physics - Phenomenology · Physics 2009-09-25 Jonathan A. Bagger

In dealing with asymptotic approximation of possibly divergent nets of probability distributions, we are led to study uniform structures on the set of distributions. This paper identifies a class of such uniform structures that may be…

Probability · Mathematics 2010-11-23 Jan Pachl

Motivated by recent applications to entropy theory in dynamical systems, we generalise notions introduced by Matthews and define weakly weighted and componentwisely weakly weighted (generalised) quasi-metrics. We then systematise and extend…

Information Theory · Computer Science 2022-12-19 Ilaria Castellano , Anna Giordano Bruno , Nicolò Zava

In this paper we study skew Poincar\'e-Birkhoff-Witt extensions over weak symmetric and $(\Sigma,\Delta)$-weak symmetry rings. Since these extensions generalize Ore extensions of injective type and another noncommutative rings of polynomial…

Quantum Algebra · Mathematics 2018-07-18 Armando Reyes , Héctor Suárez