Results 31 to 40 of about 252 (177)

Geometric Kinematic Approach to Rigid Objects with Point Contact Based on A Local-Surface Frame

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
Controlling the relative motion between two contactingrigid bodies is necessary when manipulation and locomotion tasks areencountered in robotics. In this paper, we express the kinematics ofspin-rolling motion of rigid objects with point contact based on
Vahide Bulut
doaj   +1 more source

Isometric immersions into three‐dimensional unimodular metric Lie groups

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro, José M. Manzano, José S. Santiago   +2 more
wiley   +1 more source

A Unified Rotation-Minimizing Darboux Framework for Curves and Relativistic Ruled Surfaces in Minkowski Three-Space

Axioms
We propose a comprehensive rotation-minimizing (RM) Darboux framework for the study of curve theory and relativistic ruled surfaces in Minkowski three-space E13.
Mona Bin-Asfour, Ghaliah Alhamzi, Emad Solouma, Sayed Saber   +3 more
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Overland Flow Dynamics on a Cracked Soil Slope Under Drying‐Wetting Cycles: An Integrated Hydrological and Infrared Thermographic Study

Water Resources Research, Volume 62, Issue 8, August 2026.
Abstract Although overland flow strongly governs soil erosion and sediment transport, its response to desiccation cracking induced by drying‐wetting cycles is not fully understood. This study addresses this gap through laboratory rainfall simulations on a slope model subjected to three drying‐wetting cycles.
Ting‐Ting Chen, Qing Cheng, Qi Zhang, Chao‐Sheng Tang, Yang Lu, Bin Shi   +5 more
wiley   +1 more source

Affine hypersurfaces and superintegrable systems

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
wiley   +1 more source

Slant Helices and Darboux Helices in Myller Configuration

Axioms
In this paper, we study slant helices (or ξ_2-helices) and Darboux helices in the Myller configuration M. We demonstrate that a curve in M is a slant helix if and only if it is a Darboux helix.
Yanlin Li, Akın Alkan, Mehmet Önder, Yuquan Xie   +3 more
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Geometry of Supergravity and the Batalin–Vilkovisky Formulation of the N=1$\mathcal N=1$ Theory in Ten Dimensions

Fortschritte der Physik, Volume 74, Issue 5, May 2026.
ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka, Charles Strickland‐Constable, Fridrich Valach   +2 more
wiley   +1 more source

Darboux soft hair in 3D asymptotically flat spacetimes

Physics Letters B
In this paper, we construct a fully on-shell solution space for three-dimensional Einstein's gravity in asymptotically flat spacetimes using a finite coordinate transformation.
Vahid Taghiloo
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Closed Form Relations and Higher‐Order Approximations of First and Second Derivatives of the Tangent Operator on SE(3)

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 4, April 2026.
ABSTRACT The Lie group SE3$SE\left(3\right)$ of isometric orientation‐preserving transformation is used for modeling multibody systems, robots, and Cosserat continua. The use of these models in numerical simulation and optimization schemes necessitates the exponential map, its right‐trivialized differential (often referred to as the tangent operator ...
Andreas Müller
wiley   +1 more source

Characteristic properties of the ruled surface with Darboux frame in E^3

Kuwait Journal of Science, 2015
In this study, the ruled surface with Darboux frame is defined. Then, the ruled surfacescharacteristic properties which are related to the geodesic curvature, the normal curvature andthe geodesic torsion are investigated. The relation between the Darboux
GÜLSÜM YELİZ ŞENTÜRK, SALİM YÜCE
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