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In this thesis we deal with the specific collective phenomena in condensed matter - striped-structures formation. Such structures are observed in different branches of condensed matter physics, like surface physics or physics of…

强关联电子 · 物理学 2007-05-23 Volodymyr Derzhko

In this paper we derive a necessary condition for finite element method (FEM) convergence in $H^1(\Omega)$ as well as generalize known sufficient conditions. We deal with the piecewise linear conforming FEM on triangular meshes for…

数值分析 · 数学 2016-01-13 Václav Kučera

We use a natural affine connection with nontrivial torsion on an arbitrary almost-Kaehler manifold which respects the almost-Kaehler structure to construct a Fedosov-type deformation quantization on this manifold.

量子代数 · 数学 2007-05-23 Alexander V. Karabegov , Martin Schlichenmaier

We determine obstructedness or unobstructedness of (holomorphic) Poisson deformations of ruled surfaces over an elliptic curve.

代数几何 · 数学 2016-10-05 Chunghoon Kim

We consider the space of all quasifuchsian metrics on the product of a surface with the real line. We show that, in a neighborhood of the submanifold consisting of fuchsian metrics, every non-fuchsian metric is completely determined by the…

微分几何 · 数学 2018-08-02 Francis Bonahon

In a recent series of papers we have analyzed a certain deformation of the canonical commutation relations producing an interesting functional structure which has been proved to have some connections with physics, and in particular with…

数学物理 · 物理学 2015-06-05 Fabio Bagarello

Many compliant shell mechanisms are periodically corrugated or creased. Being thin, their preferred deformation modes are inextensional, i.e., isometric. Here, we report on a recent characterization of the isometric deformations of periodic…

微分几何 · 数学 2025-11-04 Hussein Nassar , Andrew Weber

In this paper we prove some general results on constant mean curvature lamination limits of certain sequences of compact surfaces $M_n$ embedded in $\mathbb R^3$ with constant mean curvature $H_n$ and fixed finite genus, when the boundaries…

微分几何 · 数学 2016-05-02 William H. Meeks , Giuseppe Tinaglia

The aim of the paper is to investigate the relation between inverse limit of branched manifolds and codimension zero laminations. We give necessary and sufficient conditions for such an inverse limit to be a lamination. We also show that…

动力系统 · 数学 2012-11-21 Álvaro Lozano Rojo

We consider the space of embeddings of finitely many circles that bound disks in non-positively curved surfaces. We index the connected components of this space with finite rooted trees and show that the connected components are classifying…

代数拓扑 · 数学 2026-01-21 Ryan C. Gelnett

Some aspects of the geometry and the dynamics of generalized Chaplygin systems are investigated. First, two different but complementary approaches to the construction of the reduced dynamics are reviewed: a symplectic approach and an…

动力系统 · 数学 2007-05-23 F. Cantrijn , J. Cortes , M. de Leon , D. Martin de Diego

We introduce the notion of an asymptotically Poincar\'e family of surfaces in an end of a quasi-Fuchsian manifold. We show that any such family gives a foliation of an end by asymptotically parallel convex surfaces, and that the asymptotic…

微分几何 · 数学 2019-08-02 Keaton Quinn

Understanding the fluctuations of observables is one of the main goals in science, be it theoretical or experimental, quantum or classical. We investigate such fluctuations when only a subregion of the full system can be observed, focusing…

强关联电子 · 物理学 2022-02-02 Benoit Estienne , Jean-Marie Stéphan , William Witczak-Krempa

For geometrically finite Kleinian surface groups, Bonahon and Otal proved the existence part, and partly the uniqueness part of the bending lamination conjecture. In this paper, we generalise the existence part to general Kleinian surface…

几何拓扑 · 数学 2022-06-10 Shinpei Baba , Ken'ichi Ohshika

Two surfaces are "sticky" if breaking their mutual contact requires a finite tensile force. At low fractal dimensions D, there is consensus stickiness does not depend on the upper truncation frequency of roughness spectrum (or…

材料科学 · 物理学 2020-12-15 G. Violano , A. Papangelo , M. Ciavarella

Everyday experience confirms the tendency of adhesive films to detach from spheroidal regions of rigid substrates -- what is a petty frustration when placing a sticky bandage onto an elbow or knee is a more serious matter in the coating and…

Thurston's Ending Lamination Conjecture states that a hyperbolic 3-manifold N with finitely generated fundamental group is uniquely determined by its topological type and its end invariants. In this paper we prove this conjecture for…

几何拓扑 · 数学 2011-03-10 Jeffrey F. Brock , Richard D. Canary , Yair N. Minsky

We consider quasifuchsian manifolds with "particles", i.e., cone singularities of fixed angle less than $\pi$ going from one connected component of the boundary at infinity to the other. Each connected component of the boundary at infinity…

几何拓扑 · 数学 2016-01-20 Cyril Lecuire , Jean-Marc Schlenker

This paper investigates conformal deformations of the scalar curvature and mean curvature on complete Riemannian manifolds with boundary. We establish sufficient conditions for the existence of conformal deformations to complete metrics…

微分几何 · 数学 2025-01-22 Tiarlos Cruz , Almir Silva Santos

This paper studies the influence of bending deflections on the structural behaviour of masonry columns. Some explicit solutions are presented, and the combined effects of the constitutive and geometric nonlinearities are investigated…

计算工程、金融与科学 · 计算机科学 2022-03-23 M. Girardi , C. Padovani , D. Pellegrini