Symmetry, Journal Year: 2022, Volume and Issue: 15(1), P. 77 - 77
Published: Dec. 27, 2022
The main purpose of this paper is to investigate lightlike hypersurfaces almost productlike semi-Riemannian manifolds. For purpose, screen-semi-invariant, screen-invariant, radical-anti-invariant, and radical-invariant manifolds are introduced some examples these classifications presented. Furthermore, various characterizations dealing screen semi-invariant obtained.
Language: Английский
AIMS Mathematics, Journal Year: 2022, Volume and Issue: 8(1), P. 2226 - 2239
Published: Jan. 1, 2022
<abstract><p>In this study, the ruled developable surfaces with pointwise 1-type Gauss map of Frenet-type framed base (Ftfb) curve are introduced in Euclidean 3-space. The tangent surfaces, focal and rectifying singular points considered. Then conditions for these to be obtained separately. In order form a basis first, basic concepts related Ftfb surface recalled. Later, necessary sufficient found map. Finally, examples each type given, their graphics illustrated.</p></abstract>
Language: Английский
Citations
42
Symmetry, Journal Year: 2023, Volume and Issue: 15(2), P. 277 - 277
Published: Jan. 19, 2023
In this paper, we consider the singularities and geometrical properties of timelike developable surfaces with Bishop frame in Minkowski 3-space. Taking advantage singularity theory, give classification generic these surfaces. Furthermore, an example application is given to illustrate applications results.
Language: Английский
Citations
36
Symmetry, Journal Year: 2023, Volume and Issue: 15(1), P. 173 - 173
Published: Jan. 6, 2023
The approach of the paper is on spacelike circular surfaces in Minkowski 3-space. A surface a one-parameter family Lorentzian circles with fixed radius regarding non-null curve, which acts as spine and it has symmetrical properties. In study, we have parametrized provided their geometric singularity properties such Gaussian mean curvatures, comparing them those ruled classification singularities. Furthermore, conditions for roller coaster to be flat or minimal are obtained. Meanwhile, support results some examples.
Language: Английский
Citations
32
Mathematical Methods in the Applied Sciences, Journal Year: 2023, Volume and Issue: 46(9), P. 11157 - 11171
Published: March 2, 2023
In this paper, we mainly investigate (contra)pedals and (anti)orthotomics of frontals in the de Sitter 2‐space from viewpoint singularity theory differential geometry. We utilize Legendrian Frenet frames to provide parametric representations (contra)pedal curves spacelike timelike geometric properties these curves. then introduce orthotomics explain as wavefronts theory. Furthermore, generalize methods study antiorthotomics 2‐space.
Language: Английский
Citations
30
AIMS Mathematics, Journal Year: 2022, Volume and Issue: 8(1), P. 2386 - 2406
Published: Jan. 1, 2022
<abstract><p>In this work, we investigate the differential geometric characteristics of pedal and primitive curves in a Minkowski plane. A is specified by opposite structure for creating pedal, primitivoids are known as comparatives plane curve. We inspect relevance between pedals that relate with symmetry properties. Furthermore, under viewpoint symmetry, expand these notions to frontal Then, present relationships properties category. Numerical examples presented here support our main results.</p></abstract>
Language: Английский
Citations
34
Filomat, Journal Year: 2023, Volume and Issue: 37(17), P. 5735 - 5749
Published: Jan. 1, 2023
In this paper, the relationships between geodesic torsions, normal curvatures and of parameter curves intersecting at any angle on timelike surfaces in Lorentz-Minkowski 3- space are obtained by various equations. addition, new equivalents well-known formulas (O. Bonnet, Euler, Liouville) found space. Finally, examples these given.
Language: Английский
Citations
15
International Journal of Geometric Methods in Modern Physics, Journal Year: 2022, Volume and Issue: 20(02)
Published: Sept. 16, 2022
The parameter curves [Formula: see text] and intersecting under the angle on a timelike surface any curve passing through same point with these have six different cases according to their causal characters. In this study, Darboux trihedrons of three instantaneous rotation vectors are separately calculated for each cases, relationships between given. addition, some theorems results been obtained surface. Besides, special where intersect perpendicularly examined compared previous studies.
Language: Английский
Citations
14
Symmetry, Journal Year: 2023, Volume and Issue: 15(4), P. 842 - 842
Published: April 1, 2023
The aim of the paper is on spacelike circular surfaces and singularities in Minkowski 3-space E13. A surface with a stationary radius can be swept out by movable Lorentzian circle following non-null curve, which acts as spine curve. In study, we have represented furnished its geometric properties such striction curves contrasting those ruled surfaces. Subsequently, new type was distinguished named roller coaster surface. Meanwhile, support outcomes work some examples.
Language: Английский
Citations
7
AIMS Mathematics, Journal Year: 2023, Volume and Issue: 8(5), P. 11312 - 11324
Published: Jan. 1, 2023
<abstract><p>If both the arc length and intrinsic curvature of a curve or surface are preserved, then flow is said to be inextensible. The absence motion-induced strain energy physical characteristic inextensible flows. In this paper, we study tangential, normal binormal ruled surfaces generated by with constant torsion, which also called Salkowski curve. We investigate whether not these minimal can developed. addition, prove some theorems related within three-dimensional Euclidean space.</p></abstract>
Language: Английский
Citations
5
Journal of Nonlinear Mathematical Physics, Journal Year: 2022, Volume and Issue: 30(2), P. 428 - 454
Published: Oct. 27, 2022
Abstract
We
study
conformal
$$\eta$$
Language: Английский
Citations
8