Results 61 to 70 of about 247 (173)

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

Nondensity results in high‐dimensional stable Hamiltonian topology

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We push forward the study of higher dimensional stable Hamiltonian topology by establishing two nondensity results. First, we prove that stable hypersurfaces are not C3$C^3$‐dense in any isotopy class of embedded hypersurfaces on any ambient symplectic manifold of dimension 2n⩾8$2n\geqslant 8$.
Robert Cardona, Fabio Gironella
wiley   +1 more source

Lagrangian approximation of totally real concordances

Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.
Abstract We show that a two‐dimensional totally real concordance can be approximated by a Lagrangian concordance whose Legendrian boundary has been stabilised both positively and negatively sufficiently many times. The main applications that we provide are constructions of knotted Lagrangian concordances in arbitrary four‐dimensional symplectisations ...
Georgios Dimitroglou Rizell
wiley   +1 more source

Geometric Invariants and Evolution of RM Hasimoto Surfaces in Minkowski 3-Space ${\mathbb{E}}_1^3$

Mathematics
Research on surfaces generated by curves plays a central role in linking differential geometry with physical applications, especially following Hasimoto’s transformation and the development of Hasimoto-inspired surface models.
Emad Solouma, Sayed Saber, Marin Marin, Haci Mehmet Baskonus   +3 more
doaj   +1 more source

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

Kuwait Journal of Science, 2014
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 frame and the Frenetframe on the ruled surface is presented.
Senturk, Gulsum Yeliz, Yuce, Salim
openaire   +5 more sources

Nonlinear Optics Through the Field Tensor Formalism

Laser &Photonics Reviews, Volume 19, Issue 2, January 22, 2025.
This review delves into the symmetry properties of electric fields and susceptibility tensors. It explores scenarios where propagation effects are negligible and situations where propagation is significant, elucidating the role of the field tensor in phase‐matching considerations.
Julien Duboisset, Benoît Boulanger, Sophie Brasselet, Patricia Segonds, Joseph Zyss   +4 more
wiley   +1 more source

Stationary‐Angle Conditions and Bertrand Offsets in Timelike‐Ruled Surfaces

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
In this study, we introduce the concept of stationary‐angle timelike‐ruled surfaces and examine their geometric properties, particularly in relation to their Bertrand offsets. A timelike‐ruled surface is generated by the motion of a straight ruling along a striction curve, and its structure is analyzed using the Blaschke and Darboux frames.
Areej A. Almoneef, Rashad A. Abdel-Baky, Leopoldo Greco   +2 more
wiley   +1 more source

REFLEX—A novel method for the rapid estimation of flood extent

Journal of Flood Risk Management, Volume 17, Issue 4, December 2024.
Abstract Reliable flood hazard mapping is crucial for enhancing flood preparedness, especially in poorly gauged and vulnerable areas. Yet, current flood models are either highly detailed and computationally intensive or oversimplified, failing to capture important flow dynamics.
Mauro Arcorace, Andrea Libertino, Lorenzo Alfieri, Simone Gabellani, Alessia Matanò, Alessandro Masoero, Valerio Basso, Giorgio Boni   +7 more
wiley   +1 more source

Zero‐curvature subconformal structures and dispersionless integrability in dimension five

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
wiley   +1 more source

Computing Special Smarandache Curves According to Darboux Frame in Euclidean 4-Space

International Journal of Analysis and Applications, 2019
In this paper, we study some special Smarandache curves and their differential geometric properties according to Darboux frame in Euclidean 4-space E4. Also, we compute some of these curves which lie fully on a hypersurface in E4.
M. Khalifa Saad, M. A. Abd-Rabo
doaj   +2 more sources