Results 1 to 10 of about 184 (74)

Generalized Helical Hypersurface with Space-like Axis in Minkowski 5-Space

Universe, 2023
We introduce the generalized helical hypersurface having a space-like axis in five-dimensional Minkowski space. We compute the first and second fundamental form matrices, Gauss map, and shape operator matrix of the hypersurface.
Erhan Güler
doaj   +4 more sources

Generalized Helical Hypersurfaces Having Time-like Axis in Minkowski Spacetime

Universe, 2022
In this paper, the generalized helical hypersurfaces x=x(u,v,w) with a time-like axis in Minkowski spacetime E14 are considered. The first and the second fundamental form matrices, the Gauss map, and the shape operator matrix of x are calculated ...
Erhan Güler
doaj   +5 more sources

Differential Geometry of the Family of Helical Hypersurfaces with a Light-like Axis in Minkowski Spacetime ${\mathbb{L}}^4$

Universe, 2023
We investigate the class of helical hypersurfaces parametrized by x=x(u,v,w), characterized by a light-like axis in Minkowski spacetime L4. We determine the matrices that represent the fundamental forms, Gauss map, and shape operator of x.
Erhan Güler
doaj   +2 more sources

Helical Hypersurfaces in Minkowski Geometry E 1 4 [PDF]

Symmetry, 2020
We define helical (i.e., helicoidal) hypersurfaces depending on the axis of rotation in Minkowski four-space E 1 4 . There are three types of helicoidal hypersurfaces. We derive equations for the curvatures (i.e., Gaussian and mean) and give some examples of these hypersurfaces.
Erhan GÜLER, GÜLER Erhan
exaly   +2 more sources

On the pH-dependence of α-synuclein amyloid polymorphism and the role of secondary nucleation in seed-based amyloid propagation [PDF]

eLife
The aggregation of the protein α-synuclein is closely associated with several neurodegenerative disorders and as such the structures of the amyloid fibril aggregates have high scientific and medical significance.
Lukas Frey, Dhiman Ghosh, Bilal M Qureshi, David Rhyner, Ricardo Guerrero-Ferreira, Aditya Pokharna, Witek Kwiatkowski, Tetiana Serdiuk, Paola Picotti, Roland Riek, Jason Greenwald   +10 more
doaj   +2 more sources

Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean Space

Journal of Mathematics
Differential geometry of a kind of helical hypersurface family that depends on six parameters within the seven-dimensional Euclidean space is explored.
Erhan Güler
doaj   +2 more sources

Concircular Hypersurfaces and Concircular Helices in Space Forms

Mediterranean Journal of Mathematics, 2023
AbstractIn this paper, we find a full description of concircular hypersurfaces in space forms as a special family of ruled hypersurfaces. We also characterize concircular helices in 3-dimensional space forms by means of a differential equation involving the concircular factor and their curvature and torsion, and we show that the concircular helices are
Lucas, Pascual, Ortega-Yagües, José Antonio   +1 more
openaire   +3 more sources

Lc helices and harmonic curvatures in space forms (hypersurface)

, 2012
In n-dimensional Euclidean space E^n, harmonic curvatures of a non-degenerate curve defined by Özdamar and Hacisalihoğlu [4]. In this paper, We define a new type of curves called LC helix when the angle between tangent of this curve and LC parallel vector field in space form is constant.
Senol, Ali, Ziplar, Evren, Yayli, Yusuf
openaire   +2 more sources

Ambidexterity and Left-Handedness Induced by Geminally Disubstituted γ Amino Acid Residues in Chiral 3₁₀ Helices. [PDF]

ACS Omega, 2023
Debnath S, Rajalakshmi VS, Kumar D, Das B, Vasudev PG, Satpati P, Chatterjee S.   +6 more
europepmc   +1 more source

Study of Allosteric Transitions of Human P-Glycoprotein by Using the Two-State Anisotropic Network Model. [PDF]

Front Med (Lausanne), 2022
Li H, Gong W.
europepmc   +1 more source