Results 81 to 90 of about 4,855 (191)

On the Patterns of Principal Curvature Lines around a Curve of Umbilic Points

, 2004
In this paper is studied the behavior of principal curvature lines near a curve of umbilic points of a smooth surface.Comment: 12 pages, 5 ...
Garcia, Ronaldo, Sotomayor, Jorge
core   +3 more sources

Heavenly metrics, hyper‐Lagrangians and Joyce structures

Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract In [Proc. Sympos. Pure Math., American Mathematical Society, Providence, RI, 2021, pp. 1–66], Bridgeland defined a geometric structure, named a Joyce structure, conjectured to exist on the space M$M$ of stability conditions of a CY3$CY_3$ triangulated category.
Maciej Dunajski, Timothy Moy
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

Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface

Communications on Pure and Applied Mathematics, Volume 77, Issue 9, Page 3670-3707, September 2024.
Abstract Given any (not necessarily connected) combinatorial finite graph and any compact smooth 6‐manifold M6$M^6$ with the third Betti number b3≠0$b_3\not=0$, we construct a calibrated 3‐dimensional homologically area minimizing surface on M$M$ equipped in a smooth metric g$g$, so that the singular set of the surface is precisely an embedding of this
Zhenhua Liu
wiley   +1 more source

Multiplicative generalized tube surfaces with multiplicative quaternions algebra

Mathematical Methods in the Applied Sciences, Volume 47, Issue 11, Page 9157-9168, 30 July 2024.
Along with other types of calculus, multiplicative calculus brings an entirely new perspective. Geometry now has a new field as a result of this new understanding. In this study, multiplicative differential geometry was used to explore peculiar surfaces. Multiplicative quaternions are also used to depict surfaces.
Hazal Ceyhan, Zehra Özdemir, Ismail Gök   +2 more
wiley   +1 more source

DTM resolution controls the accuracy of estimating surface runoff indicators in flat, lowland landscapes

Hydrological Processes, Volume 38, Issue 5, May 2024.
We find that widely used surface runoff indicators maximum depression storage (MDS), random roughness (RR) and the connectivity threshold (CT) are defined at the microtopographic (cm) scale, and the quality of their estimates relies on a proper representation of microtopography in the input DTM used to derive their values.
Peter Schaap, Ype van der Velde, Perry de Louw, Harm Bartholomeus   +3 more
wiley   +1 more source

Special Smarandache Curves with Respect to Darboux Frame in the Galilean 3-Space

International Journal of Advances in Applied Mathematics and Mechanics, 2017
15 ...
Tevfik Sahin, Merve Okur
openaire   +4 more sources

Null Bertrand partner D-curves on spacelike surfaces

Frontiers in Physics
In this paper, by using the Darboux frame of null curves, we define null Bertrand partner D-curves and present the relations between curvatures of these curves in Minkowski 3-space E13. In addition, we obtain some special results. Finally, by considering
Tanju Kahraman
doaj   +1 more source

Inextensible Flows of Curves on Lightlike Surfaces

Mathematics, 2018
In this paper, we study inextensible flows of a curve on a lightlike surface in Minkowski three-space and give a necessary and sufficient condition for inextensible flows of the curve as a partial differential equation involving the curvatures of the ...
Zühal Küçükarslan Yüzbaşı, Dae Won Yoon   +1 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