Results 91 to 100 of about 2,113,538 (360)

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  

A note on higher-order Gauss maps [PDF]

Michigan Mathematical Journal, 2017
We study Gauss maps of order $k$, associated to a projective variety $X$ embedded in projective space via a line bundle $L.$ We show that if $X$ is a smooth, complete complex variety and $L$ is a $k$-jet spanned line bundle on $X$, with $k\geq 1,$ then the Gauss map of order $k$ has finite fibers, unless $X=\mathbb{P}^n$ is embedded by the Veronese ...
Di Rocco, Sandra, Jabbusch, Kelly, Lundman, Anders   +2 more
openaire   +3 more sources

Intelligent Soft Opto‐Magnetic Robot for Minimally Invasive Interventional Therapy

Advanced Science, EarlyView.
An intelligent soft opto‐magnetic (iSOM) robot is developed that integrates remote magnetic actuation, skin‐mimic tactile perception, and photothermal ablation in a near‐millimeter‐scale design. It enables precise intraluminal navigation and localized ablation while providing real‐time optical feedback to support safe and accurate minimally invasive ...
Jingjing Guo, Xiaoyan Guo, Jian Wei, Miaowen Jiang, Qifa Su, Xian Xia, Zhuozhou Li, Rong Cai, Jianguo Ma, Bo Fu, Ming Li, Jing Zhong, Lijun Xu, Xunming Ji   +13 more
wiley   +1 more source

Infinitesimal rigidity of convex surfaces through the second derivative of the Hilbert-Einstein functional II: Smooth case [PDF]

, 2011
The paper is centered around a new proof of the infinitesimal rigidity of smooth closed surfaces with everywhere positive Gauss curvature. We use a reformulation that replaces deformation of an embedding by deformation of the metric inside the body ...
I Polyhedral Case, Ivan Izmestiev
core  

Meter‐Scale Ultra‐Large‐Area Flexible Electroluminescent Devices Enabled by Aerosol Spraying

Advanced Science, EarlyView.
This work presents a simple aerosol spraying method using modified luminescent ink to fabricate meter‐scale flexible alternating current electroluminescent (ACEL) devices. Enhanced particle dispersibility and film uniformity yield impressive brightness up to 500 cd m−2, positioning these devices as effective luminous navigation signs for industrial ...
Hao Song, Liang Yi, Lixiang Huang, Wajid Ali, Linhan Cai, Chao Wang, Jianhua Huang, Ziwei Li, Anlian Pan   +8 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

Robust C–V Ratio Technique for Profiling Defects in Proton‐Irradiated 4H‐SiC

Advanced Electronic Materials, EarlyView.
A noise‐robust C–V ratio technique is introduced to profile radiation‐induced defects in proton‐irradiated 4H‐SiC Schottky diodes. By using analytical capacitance ratios instead of numerical differentiation, the method directly extracts trap‐density and effective trap‐energy profiles at room temperature.
Kibeom Kim, Sung Yun Woo, Jeong Hyun Moon, Young Jun Yoon, Jae Hwa Seo   +4 more
wiley   +1 more source

Generalized Weierstrass-Enneper representation for minimal surfaces in $ \mathbb{R}^4 $

AIMS Mathematics
In this study, we present a generalized Weierstrass-Enneper representation for minimal surfaces in four-dimensional Euclidean space. We derive both parametric (explicit) and algebraic (implicit) representations of several example minimal surfaces ...
Magdalena Toda, Erhan Güler
doaj   +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

RULED SURFACES AND GAUSS MAP [PDF]

Bulletin of the Korean Mathematical Society, 2015
Abstract. We study the Gauss map G of ruled surfaces in the 3-dim-ensional Euclidean space E 3 with respect to the so called Cheng-Yauoperator acting on the functions defined on the surfaces. As a result,we establish the classification theorem that the only ruled surfaces withGauss map G satisfying G= AG for some 3 ×3 matrix A are the flatones ...
openaire   +1 more source