Results 81 to 90 of about 4,861 (197)
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
AIMS MathematicsIn this paper, to start we defined osculating q-frame, normal q-frame, and rectifying q-frame along a space curve in Euclidean 3-space $ \mathbb{E}^3 $ by using the Darboux vector field of the q-frame.
Bahar UYAR DÜLDÜL
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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
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Geometric Invariants and Evolution of RM Hasimoto Surfaces in Minkowski 3-Space
MathematicsResearch 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 +3 more
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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 +2 more
wiley +1 more source
Bertrand partner trajectories related to PAFORS [PDF]
Mathematica BohemicaIn this study, we consider the concept of Bertrand partner trajectories related to Positional Adapted Frame on Regular Surfaces (shortly PAFORS) for the particles moving on the different regular surfaces in Euclidean 3-space.
Zehra İşbilir +2 more
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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
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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 +3 more
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An approach to energy and elastic for curves with extended Darboux frame in Minkowski space
AIMS Mathematics, 2020 In this paper, we construct the energy for the ED-frame field of the first and second kind on an orientable hypersurface in Minkowski space. We obtain the geometric properties of some graphics by way of energy.
Talat Körpinar, Yasin Ünlütürk
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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
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