Results 51 to 60 of about 4,855 (191)

Parallel-propagated frame along null geodesics in higher-dimensional black hole spacetimes

, 2008
In [arXiv:0803.3259] the equations describing the parallel transport of orthonormal frames along timelike (spacelike) geodesics in a spacetime admitting a non-degenerate principal conformal Killing-Yano 2-form h were solved.
B. Carter, C. W. Misner, David Kubizňák, F. A. E. Pirani, Patrick Connell, Pavel Krtouš, T. Kashiwada, V. P. Frolov, Valeri P. Frolov   +8 more
core   +1 more source

Timelike tubes with Darboux frame in Minkowski 3-space

International Journal of Physical Sciences, 2013
In this study, we define a timelike tube around a spacelike curve with timelike binormal by taking Darboux frame instead of Frenet frame in Minkowski 3-space  QUOTE  . Subsequently, we compute the Gaussian curvature, the mean curvature, and the second Gaussian curvature of timelike tube with Darboux frame and obtained some characterizations for special
Kızıltuğ Sezai, Yaylı Yusuf
openaire   +2 more sources

Ruled Surfaces with Constant Slope Ruling According to Darboux Frame

Mathematical Sciences and Applications E-Notes, 2020
 The main scope of this paper is to examine ruled surfaces with constant slope ruling with respect to the given surface according to Darboux Frame. We give necessary and su¢ cient conditions for these types surfaces to be developable. Also, the investigations are observed under some special cases.
Ayşe YAVUZ, Fatma ATEŞ, Yusuf YAYLI
openaire   +3 more sources

A new version of energy and elastica for curves with extended darboux frame

Boletim da Sociedade Paranaense de Matemática, 2022
In this work, we research geometrical interpretation involved with the energy by ED-frame field of first and second kind on orientable hypersurface in E⁴. We explore the geometric properties of some graphics by way of energy. We apply totally diverse discussion and approach to illustrate bending energy functional for ED-frame field of first and second ...
Vedat Asil, Talat Körpınar, Yasin Ünlütürk   +2 more
openaire   +4 more sources

Galileo's ship and the relativity principle

Noûs, Volume 59, Issue 3, Page 585-611, September 2025.
Abstract It is widely acknowledged that the Galilean Relativity Principle, according to which the laws of classical systems are the same in all inertial frames in relative motion, has played an important role in the development of modern physics. It is also commonly believed that this principle holds the key to answering why, for example, we do not ...
Sebastián Murgueitio Ramírez
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
doaj   +1 more source

Product of Exponentials (POE) Splines on Lie‐Groups: Limitations, Extensions, and Application to SO(3)$$ SO(3) $$ and SE(3)$$ SE(3) $$

International Journal for Numerical Methods in Engineering, Volume 126, Issue 14, 30 July 2025.
ABSTRACT Existing methods for constructing splines and Bézier curves on a Lie group G$$ G $$ involve repeated products of exponentials deduced from local geodesics, w.r.t. a Riemannian metric, or rely on general polynomials. Moreover, each of these local curves is supposed to start at the identity of G$$ G $$.
Andreas Müller
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
doaj   +1 more source

Point Cloud Registration Based on Fast Point Feature Histogram Descriptors for 3D Reconstruction of Trees

Remote Sensing, 2023
Three-dimensional (3D) reconstruction is an essential technique to visualize and monitor the growth of agricultural and forestry plants. However, inspecting tall plants (trees) remains a challenging task for single-camera systems.
Yeping Peng, Shengdong Lin, Hongkun Wu, Guangzhong Cao   +3 more
doaj   +1 more source

Uncovering fine‐scale surface flow dynamics with particle tracking velocimetry: A new benchmark for soil erosion modelling

Earth Surface Processes and Landforms, Volume 50, Issue 9, Page 1-18, July 2025.
This study introduces a camera‐based approach for distributed, high‐resolution flow velocity measurements during artificial rainfall simulations, using particle tracking velocimetry (PTV). The results demonstrate PTV's potential as a robust and easily implementable tool for improving runoff model assessment and process understanding at small scales ...
Lea Epple, Anne Bienert, Oliver Grothum, Jonas Lenz, Anette Eltner   +4 more
wiley   +1 more source