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Related papers: On H = 1/2 Surfaces in PSL_2(R,\{\tau}au)

200 papers

The space $SL(2,\mathbb{R})\times SL(2,\mathbb{R})$ admits a natural homogeneous pseudo-Riemannian nearly Kaehler structure. We investigate almost complex surfaces in this space. In particular we obtain a complete classification of the…

Differential Geometry · Mathematics 2020-06-23 Elsa Ghandour , Luc Vrancken

Long-term monitoring of organic pollutants in the soil is a major environmental challenge. We propose to meet this issue by the development of a polymer dedicated to selectively react with H2S, coating surface acoustic wave transducers…

We study degree two unirational parameterizations of geometrically rational surfaces over the real field.

Algebraic Geometry · Mathematics 2025-09-15 Brendan Hassett , Hayato Takagi , Sho Tanimoto

In this work, we examine the isoptic surface of line segments in the $S^2\times R$ and $H^2\times R$ geometries, which are from the 8 Thurston geometries. Based on the procedure first described in [10], we are able to give the isoptic…

Metric Geometry · Mathematics 2023-04-05 Géza Csima

In $L_2(\mathbb{R}^d;\mathbb{C}^n)$, we consider selfadjoint strongly elliptic second order differential operators ${\mathcal A}_\varepsilon$ with periodic coefficients depending on ${\mathbf x}/ \varepsilon$, $\varepsilon>0$. We study the…

Analysis of PDEs · Mathematics 2017-08-04 Mark Dorodnyi , Tatiana Suslina

Let $S$ be a del Pezzo surface with at worst Du Val singularities of degree $2$ such that $S$ admits an $(-K_S)$-polar cylinder. In this article, we construct an $H$-polar cylinder for any ample $\mathbb{Q}$-divisor $H$ on $S$.

Algebraic Geometry · Mathematics 2026-05-15 Masatomo Sawahara

We study the crossover behavoir on restricted surface depostions.

Condensed Matter · Physics 2008-02-03 Younggi Lee , In-Mook Kim

First-principles calculations based on density functional theory and the pseudopotential method have been used to investigate the energetics of H$_2$O adsorption on the (110) surface of TiO$_2$ and SnO$_2$. Full relaxation of all atomic…

mtrl-th · Physics 2009-10-28 J. Goniakowski , M. J. Gillan

The electrostatic polarizability for both vertical and horizontal polarization of two conjoined half-cylinders partly buried in a substrate is derived in an analytical closed-form expression. Using the derived analytical polarizabilities we…

Optics · Physics 2012-02-02 Jesper Jung , Thomas G. Pedersen

We prepare monolayers of tantalum sulfide on Au(111) by evaporation of Ta in a reactive background of H$_2$S. Under sulfur-rich conditions, monolayers of 2H-TaS$_2$ develop, whereas under sulfur-poor conditions TaS forms, a structure that…

We study certain new properties of 2D surfaces associated with the $\mathbb{C}P^{N-1}$ models and the wave functions of the corresponding linear spectral problem. We show that $su(N)$-valued immersion functions expressed in terms of rank-1…

Exactly Solvable and Integrable Systems · Physics 2011-04-08 P. P. Goldstein , A. M. Grundland

In this manuscript we report helium atom scattering (HAS) measurements of the structure of the first H2O layer on Au(111). The interaction between H2O and Au(111) is believed to be particularly weak and conflicting evidence from several…

We prove that the ends of a properly immersed simply or one connected minimal surface in H(2)xR contained in a slab of height less than \pi of H(2)xR, are multi-graphs. When such a surface is embedded then the ends are graphs. When embedded…

Differential Geometry · Mathematics 2013-04-09 Pascal Collin , Laurent Hauswirth , Harold Rosenberg

Measuring inelastic rates with partial wave resolution requires temperatures close to a Kelvin or below, even for the lightest molecule. In a recent experiment Perreault et al. [1] studied collisional relaxation of excited HD molecules in…

Chemical Physics · Physics 2018-09-19 James F. E. Croft , Naduvalath Balakrishnan , Meng Huang , Hua Guo

We investigate the behavior of colloidal suspensions with different volume fractions confined between parallel walls under a range of steady shears. We model the particles using molecular dynamics (MD) with full hydrodynamic interactions…

Soft Condensed Matter · Physics 2014-09-18 Frances E. Mackay , Kyle Pastor , Mikko Karttunen , Colin Denniston

In this paper we develop the theory of properly immersed minimal surfaces in the quotient space $\mathbb H^2\times\mathbb R/G,$ where $G$ is a subgroup of isometries generated by a vertical translation and a horizontal isometry in $\mathbb…

Differential Geometry · Mathematics 2013-05-22 Laurent Hauswirth , Ana Menezes

This paper is devoted to a study of the connections between three different analytic descriptions for the immersion functions of 2D-surfaces corresponding to the following three types of symmetries: gauge symmetries of the linear spectral…

Mathematical Physics · Physics 2016-07-18 Alfred Michel Grundland , Decio Levi , Luigi Martina

The initial interaction of water with semiconductors determines the electronic structure of the solid-liquid interface. The exact nature of this interaction is, however, often unknown. Here, we study gallium phosphide-based surfaces exposed…

Materials Science · Physics 2019-05-15 Matthias M. May , Helena Stange , Jonas Weinrich , Thomas Hannappel , Oliver Supplie

Flat TiO$_2$ layers are deposited by magnetron sputtering on Ti/Si wafers. The TiO$_2$ surfaces are then sputter-coated with thin Au films of a nominal thickness of 0.5-10 nm that are converted by solid-state dewetting into Au nanoparticles…

We studied dynamics of Au (001) surface in situ in 0.1 M HClO4 electrolyte solution using both coherent x-ray scattering and scanning tunneling microscopy (STM). The surface of Au (001) is known to reconstruct at cathodic potentials; the…

Materials Science · Physics 2011-10-18 M. S. Pierce , V. Komanicky , A. Barbour , D. C. Hennessy , J. -D. Su , A. Sandy , C. Zhu , H. You