Results 81 to 90 of about 2,241,688 (305)

The Gauss map and 2 + 1 gravity [PDF]

Classical and Quantum Gravity, 1994
We prove that the Gauss map of a surface of constant mean curvature embedded in Minkowski space is harmonic. This fact will then be used to study 2+1 gravity for surfaces of genus higher than one. By considering the energy of the Gauss map, a canonical transform between the ADM reduced variables and holonomy variables can be constructed.
openaire   +2 more sources

Metal‐Enhanced Charge Transport and its Mechanism in Atomically Precise Ruthenium Single‐Molecule Devices

Advanced Science, EarlyView.
An atomically precise platform was developed for investigating single‐molecule charge transport. This innovative platform enables the creation of highly uniform molecular devices using ruthenium‐based molecules. It reveals a significant enhancement in molecular conductance due to the metallic ruthenium center and a unique barrier‐lowering effect during
Jie Guo, Qinghua Gao, Ping Duan, Cong Zhao, Huimin Wen, Xiaoyan He, Lucie Norel, Yuzhe Zhang, Chunwen Wang, Wu Zhou, Xinyue Chang, Ju Wang, Stéphane Rigaut, Mingliang Li, Chuancheng Jia, Xuefeng Guo   +15 more
wiley   +1 more source

Tunable High‐Performance Metamaterial Filters Based on Novel SRR Architectures

Advanced Science, EarlyView.
Based on two novel SRR configurations and two independent SRR integration approaches, four tunable bandpass metamaterial filters were fabricated with an ultra‐thin ceramic substrate. Among them, SM‐2 achieves over 97% electromagnetic wave transmittance, with a minimal 1.15% deviation in its resonant frequency prediction, making them promising ...
Lingxi Qu, Liya Zheng, Ruopeng Liu, Chunlin Ji, Bin Li   +4 more
wiley   +1 more source

Analysis of IVPs and BVPs on Semi-Infinite Domains via Collocation Methods

Journal of Applied Mathematics, 2012
We study the numerical solutions to semi-infinite-domain two-point boundary value problems and initial value problems. A smooth, strictly monotonic transformation is used to map the semi-infinite domain 𝑥∈[0,∞) onto a half-open interval 𝑡∈[−1,1).
Mohammad Maleki, Ishak Hashim, Saeid Abbasbandy   +2 more
doaj   +1 more source

Geometric Calculus of the Gauss Map

Advances in Applied Clifford Algebras, 2016
In this paper we connect classical differential geometry with the concepts from geometric calculus. Moreover, we introduce and analyze a more general Laplacian for multivector-valued functions on manifolds. This allows us to formulate a higher codimensional analog of Jacobi`s field equation.
openaire   +5 more sources

Shear‐Induced Emergence of Aromatic Superlow‐Friction Interfaces in Amorphous Carbon: Triggering Chemical Impurities and Atomic‐Scale Mechanisms

Advanced Science, EarlyView.
High‐throughput quantum‐mechanical simulations reveal that amorphous carbon undergoes shear‐driven structural transformation into aromatic, graphene‐like interfaces. This mechanochemical process is governed by dopant chemistry: dopants with valency less than four promote the emergence of superlow‐friction amorphous graphene, whereas tetra‐valent ...
Takuya Kuwahara, Koki Horiguchi, Leonhard Mayrhofer, Gianpietro Moras, Michael Moseler   +4 more
wiley   +1 more source

On a Gauss-Kuzmin type problem for piecewise fractional linear maps with explicit invariant measure

International Journal of Mathematics and Mathematical Sciences, 2000
A random system with complete connections associated with a piecewise fractional linear map with explicit invariant measure is defined and its ergodic behaviour is investigated. This allows us to obtain a variant of Gauss-Kuzmin type problem for the
C. Ganatsiou
doaj   +1 more source

Vector-Valued Modular Forms and the Gauss Map [PDF]

Documenta Mathematica, 2015
We use the gradients of theta functions at odd two-torsion points --- thought of as vector-valued modular forms --- to construct holomorphic differential forms on the moduli space of principally polarized abelian varieties, and to characterize the locus ...
F. Piazza, Alessio Fiorentino, S. Grushevsky, Sara Perna, R. Manni   +4 more
semanticscholar   +1 more source

On higher Gauss maps

Journal of Pure and Applied Algebra, 2015
We prove that the general fibre of the $i$-th Gauss map has dimension $m$ if and only if at the general point the $(i+1)$-th fundamental form consists of cones with vertex a fixed $\mathbb P^{m-1}$, extending a known theorem for the usual Gauss map. We prove this via a recursive formula for expressing higher fundamental forms.
Pietro De Poi, ILARDI, GIOVANNA
openaire   +5 more sources

Intramolecular Interactions between Folded and Disordered Regions Shape Ubiquilin Structure and Function

Advanced Science, EarlyView.
Ubiquilin (UBQLN), like many other human proteins, contains both well‐folded and disordered regions. Here, we show that intramolecular interactions between disordered regions and folded domains modulate between open and closed topologies of UBQLN proteins, altering their structure and function.
Jessica K. Niblo, Nirbhik Acharya, Maxwell B. Watkins, Carlos A. Castañeda, Shahar Sukenik   +4 more
wiley   +1 more source