Results 61 to 70 of about 114,046 (322)

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

Conformal deformations preserving the Gauss map [PDF]

Pacific Journal of Mathematics, 1992
We establish conditions on a conformal immersion of a Riemannian manifold in the Euclidean space for the existence of another conformal immersion with the same Gauss map. For surfaces in \(\mathbb{R}^ 3\) these conditions are expressed by a partial differential equation envolving the principal curvatures.
openaire   +2 more sources

The Gauss map and total curvature of complete minimal Lagrangian surfaces in the complex two-space [PDF]

, 2015
The purpose of this paper is to reveal the relationship between the total curvature and the global behavior of the Gauss map of a complete minimal Lagrangian surface in the complex two-space. To achieve this purpose, we show the precise maximal number of
Aiyama, Reiko, Akutagawa, Kazuo, Kawakami, Yu   +2 more
core  

Anomalous Spin‐Optical Helical Effect in Ti‐Based Kagome Metal

Advanced Materials, EarlyView.
The kagome lattice hosts diverse correlated quantum states, including elusive loop currents. We report spin‐handedness selective signals in CsTi3Bi5, termed the anomalous spin‐optical helical effect, surpassing conventional spin responses. Arising from light helicity coupled to spin‐orbital correlations, this effect provides a sensitive, indirect probe
Federico Mazzola, Wojciech Brzezicki, Chiara Bigi, Armando Consiglio, Luciano Jacopo D'Onofrio, Maria Teresa Mercaldo, Adam Kłosiński, François Bertran, Patrick Le Fèvre, Oliver J. Clark, Mark T. Edmonds, Manuel Tuniz, Alessandro De Vita, Vincent Polewczyk, Jeppe B. Jacobsen, Henrik Jacobsen, Jill A. Miwa, Justin W. Wells, Anupam Jana, Ivana Vobornik, Jun Fujii, Niccolo Mignani, Narges Tarakameh Samani, Alberto Crepaldi, Giorgio Sangiovanni, Anshu Kataria, Tommaso Morresi, Samuele Sanna, Pietro Bonfá, Brenden R. Ortiz, Ganesh Pokharel, Stephen D. Wilson, Domenico Di Sante, Carmine Ortix, Mario Cuoco   +34 more
wiley   +1 more source

Pulsed DC Sputter Deposition of Stable Turbostratic Boron Nitride Thin Films

Advanced Materials Interfaces, EarlyView.
Boron nitride (BN) films are deposited by sputtering from a boron target. During deposition, a substrate bias voltage is applied between the plasma and the sample, which reduces excess boron in the film and enhances the crystallinity. This process prevents the formation of boric acid and ammonium borate hydrate.
Josef Schätz, Michael Krenzer, Tim Schaffus, Martin Otto, Fabian Kühnel, Fabian Streb, Günther Benstetter, Georg S. Duesberg, Stephan Pindl, Max C. Lemme   +9 more
wiley   +1 more source

Real-time 6DoF localization with relative poses to walls of buildings

Nihon Kikai Gakkai ronbunshu, 2019
This paper presents a real-time 6DoF localization method which corrects accumulative error by estimating relative poses to building walls for mobile robots in urban areas. This method exploits a fact that most of all artificial walls are built vertically.
Ryota OZAKI, Yoji KURODA
doaj   +1 more source

Crack Repair in Hydroxyapatite Bioceramics Using an Ultraviolet Ultrafast Laser

Advanced Materials Interfaces, EarlyView.
The study proposes an ultrafast ultraviolet laser approach to repair hidden tooth cracks, which has been preliminarily validated on HAP. Moreover, this technique aims to strengthen the native enamel structure rather than introducing a foreign filling material.
Yan Xue, Kai Zheng, Yang Liao, Jing Cao, Xupeng Yuan, Fusong Yuan, Yuxin Leng   +6 more
wiley   +1 more source

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

On the Gauss map of ruled surfaces [PDF]

Glasgow Mathematical Journal, 1992
Let M2 be a (connected) surface in Euclidean 3-space E3, and let G:M2→S2(1) ⊂ E3 be its Gauss map. Then, according to a theorem of E. A. Ruh and J. Vilms [3], M2 is a surface of constant mean curvature if and only if, as a map from M2 to S2(1), G is harmonic, or equivalently, if and only ifwhere δ is the Laplace operator on M2 corresponding to the ...
Baikoussis, C., Blair, D. E.
openaire   +3 more sources

The Moebius geometry of Wintgen ideal submanifolds [PDF]

, 2014
Wintgen ideal submanifolds in space forms are those ones attaining equality pointwise in the so-called DDVV inequality which relates the scalar curvature, the mean curvature and the scalar normal curvature. They are Moebius invariant objects.
Ma, Xiang, Xie, Zhenxiao
core