Results 71 to 80 of about 8,364,083 (287)

Projective Vector Fields on Semi-Riemannian Manifolds

Mathematics
This paper explores the properties of projective vector fields on semi-Riemannian manifolds. The main result establishes that if a projective vector field P on such a manifold is also a conformal vector field with potential function ψ and the vector ...
Norah Alshehri, Mohammed Guediri
doaj   +1 more source

Conformal Vector Fields on LCP Manifolds

We show that conformal vector fields on compact locally conformally product manifolds are orthogonal to the flat distribution and Killing with respect to the Gauduchon metric.
Flamencourt, Brice, Moroianu, Andrei
openaire   +2 more sources

Additively Manufactured Geometry‐Reconfigurable Soft Neural Probes With Monolithic Multifunctionality

Advanced Functional Materials, EarlyView.
A geometry‐reconfigured additive manufacturing strategy converts planar printed soft materials into soft compact neural probes with integrated hydrogel electrodes and microfluidic channels. The resulting NeuroMAP platform enables scalable multichannel recording, localized chemical delivery, stable in vivo electrophysiological recording, and reduced ...
Hyunjin Lee, Xinyi Wang, Sirui Li, Jihyang Park, Hyunseok Lee, Jianting Yao, Kedar Narayan, Yuqi Wang, Jiashu Ren, Yueqi Deng, Salahuddin Ahmed, Denver I. Greenawalt, Archana Pandiyan, Loganathan Veeramuthu, Chi‐Ching Kuo, Tao Zhou   +15 more
wiley   +1 more source

Conformal quasi-hemi-slant $\xi^{\perp}$-Riemannian submersions from Sasakian manifolds [PDF]

Mathematica Bohemica
We introduce some geometric properties of a horizontally conformal quasi-hemi-slant Riemannian submersion from a Sasakian manifold, normal to the characteristic vector field, supported by an example.
Fortuné Massamba, Pontsho Moile
doaj   +1 more source

The epsilon expansion of the O(N) model with line defect from conformal field theory

Journal of High Energy Physics, 2023
We employ the axiomatic framework of Rychkov and Tan to investigate the critical O(N) vector model with a line defect in (4 − ϵ) dimensions. We assume the fixed point is described by defect conformal field theory and show that the critical value of the ...
Tatsuma Nishioka, Yoshitaka Okuyama, Soichiro Shimamori   +2 more
doaj   +1 more source

Neuromorphic Devices for Extreme Environments: State‐Variable Reliability and Stabilization Strategies

Advanced Functional Materials, EarlyView.
Neuromorphic devices for extreme environments are interpreted through the physical states that store and process information. Radiation, temperature extremes, and vacuum can perturb vacancies, filaments, trapped charges, polarization, interfaces, and readout signals.
Taehyun Park, Geon Park, Junhyung Cho, Jaechan Song, Wangmyung Choi, Jaehyun Hur, Nicola Gasparini, Hocheon Yoo   +7 more
wiley   +1 more source

Configuration‐Encoded Cell Alignment by Light‐Gated Silicon Photovoltaic Microcell Arrays

Advanced Functional Materials, EarlyView.
Light‐gated silicon photovoltaic microcells convert pulsed illumination into localized electrical cues. Arranging otherwise similar microcells into four‐lobed, six‐lobed, or circular patterns directs fibroblasts into corresponding local arrangements without wired stimulation.
Yifan Tao, Ilayda Namli, Joseph Christakiran Moses, Youdi Liu, Suihong Liu, Syed Hasan Askari Rizvi, Yasar Ozer Yilmaz, Ibrahim T. Ozbolat   +7 more
wiley   +1 more source

Foliations Transverse to a Closed Conformal Vector Field

Results in Mathematics
In this article, we study the geometric properties of codimension one foliations on Riemannian manifolds equipped with vector fields that are closed and conformal. Apart from its singularities, these vector fields define codimension one foliations with nice geometric features, which we call Montiel Foliations.
Euripedes da Silva, Ícaro Gonçalves, Júlio Pereira   +2 more
openaire   +3 more sources

In Situ Interfacial Assembly of Dynamic Semi‐Interpenetrating Biopolymer Networks for Robust and Mechanically Adaptive Droplet Interfaces

Advanced Functional Materials, EarlyView.
A dynamic interfacial semi‐interpenetrating polymer network is constructed by sequential assembly of β‐sheet‐rich SF and CS‐RL. The SF framework provides mechanical strength, while dynamically associated CS‐RL enables local rearrangement, allowing droplets to rapidly reconfigure without loss of interfacial integrity.
Yaping Zhang, Yujie Liu, Yikai Xu, Xunda Feng, Ling Zhang, Hongbo Zeng, Hao Liu, Xiaohui Mao   +7 more
wiley   +1 more source

The isoperimetric problem in the Riemannian manifold admitting a non-trivial conformal vector field [PDF]

, 2023
In this article, we will study the isoperimetric problem by introducing a mean curvature type flow in the Riemannian manifold endowed with a non-trivial conformal vector field.
Jiayu, Li, Shujing, Pan
core   +1 more source