Results 61 to 70 of about 2,825 (265)

Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold

Mathematics
Let (M,∇,g) be a statistical manifold and TM be its tangent bundle endowed with a twisted Sasaki metric G. This paper serves two primary objectives. The first objective is to investigate the curvature properties of the tangent bundle TM.
Lixu Yan, Yanlin Li, Lokman Bilen, Aydın Gezer   +3 more
doaj   +1 more source

Iterative calculus on tangent floors

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Tangent fibrations generate a “multi-floored tower”, while raising from one of its floors to the next one, one practically reiterates the previously performed actions. In this way, the "tower" admits a ladder-shaped structure. Raising to the first floors
Balan Vladimir, Rahula Maido, Voicu Nicoleta   +2 more
doaj   +1 more source

Surfactants as a Tool for Coupling Light Into Hydrodynamic Flow: The Influence of Surfactant Hydrophobicity and Head Polarity

Advanced Materials Interfaces, EarlyView.
Reversible light‐induced gradients at solid–liquid interfaces enable controllable interfacial transport via light‐driven diffusioosmosis. We demonstrate directed particle manipulation based on dynamically generated concentration gradients. The mechanism is broadly applicable to cationic, anionic, and non‐ionic surfactants with varying hydrophobicity ...
Maren Umlandt, David Feldmann, Nino Lomadze, Svetlana Santer   +3 more
wiley   +1 more source

Recent Advances of Slip Sensors for Smart Robotics

Advanced Materials Technologies, EarlyView.
This review summarizes recent progress in robotic slip sensors across mechanical, electrical, thermal, optical, magnetic, and acoustic mechanisms, offering a comprehensive reference for the selection of slip sensors in robotic applications. In addition, current challenges and emerging trends are identified to advance the development of robust, adaptive,
Xingyu Zhang, Liao Wu, Shuai He, Zhao Sha, Yuwan Huang, Shuying Wu, Dewei Chu, Chun H. Wang, Shuhua Peng   +8 more
wiley   +1 more source

On the vertical bundle of a pseudo-Finsler manifold

International Journal of Mathematics and Mathematical Sciences, 1999
We define the Liouville distribution on the tangent bundle of a pseudo-Finsler manifold and prove that it is integrable. Also, we find geometric properties of both leaves of Liouville distribution and the vertical distribution.
Aurel Bejancu, Hani Reda Farran
doaj   +1 more source

Stability and holomorphic connections on vector bundles over LVMB manifolds

Comptes Rendus. Mathématique, 2020
We characterize all LVMB manifolds $X$ such that the holomorphic tangent bundle $TX$ is spanned at the generic point by a family of global holomorphic vector fields, each of them having non-empty zero locus. We deduce that holomorphic connections on semi-
Biswas, Indranil, Dumitrescu, Sorin, Meersseman, Laurent   +2 more
doaj   +1 more source

Rotating Fluorescent Nanodiamond Assemblies With Focused Laguerre–Gaussian Beams

Advanced Optical Materials, EarlyView.
Self‐assembled fluorescent nanodiamond clusters are optically trapped and driven into controlled two‐dimensional rotation with Laguerre–Gaussian beams. With localized optical excitation, optically detected magnetic resonance spectra are collected at defined points along the orbit in a uniform external magnetic field.
Adam Stewart, Anthony J. El‐Helou, Ying Zhu, David McGloin, David A. Simpson, Peter J. Reece   +5 more
wiley   +1 more source

A Review on Sensor Technologies, Control Approaches, and Emerging Challenges in Soft Robotics

Advanced Robotics Research, EarlyView.
This review provides an introspective of sensors and controllers in soft robotics. Initially describing the current sensing methods, then moving on to the control methods utilized, and finally ending with challenges and future directions in soft robotics focusing on the material innovations, sensor fusion, and embedded intelligence for sensors and ...
Ean Lovett, Maxwell Hammond, Niloufar Seyfi, Amirreza Fahim Golestaneh, Venanzio Cichella, Caterina Lamuta   +5 more
wiley   +1 more source

On maximal totally real embeddings

Complex Manifolds
We consider complex structures with totally real zero section of the tangent bundle. We assume that the complex structure tensor is real-analytic along the fibers of the tangent bundle.
Pali Nefton
doaj   +1 more source

Cognition: Differential-geometrical view on neural networks

Discrete Dynamics in Nature and Society, 1999
A neural network taken as a model of a trainable system appears to be nothing but a dynamical system evolving on a tangent bundle with changeable metrics. In other words to learn means to change metrics of a definite manifold.
S. A. Buffalov
doaj   +1 more source