Results 21 to 30 of about 90,421,360 (175)

Structural explanations in Minkowski spacetime: which account of models? [PDF]

open access: yes, 2010
In this paper we argue that structural explanations are an effective way of explaining well known relativistic phenomena like length contraction and time dilation, and then try to understand how this can be possible by looking at the literature on ...
Felline, Laura   +4 more
core   +1 more source

On the Gauss Map of Surfaces of Revolution with Nonlightlike Axis in Minkowski 3-Space

open access: yesAbstract and Applied Analysis, 2014
We study surfaces of revolution with a nonlightlike axis in 3-dimensional Minkowski space and classify such surfaces in terms of the Gauss map G that satisfies the condition ΔhG=ΛG, with Λ being a 3×3 real matrix.
Minghao Jin, Donghe Pei
doaj   +1 more source

Timelike-Ruled and Developable Surfaces in Minkowski 3-Space E13

open access: yesFrontiers in Physics, 2022
In this study, the timelike-ruled and developable surfaces are constructed in Minkowski 3-space E13. Using the E. Study map, we demonstrate that dual forms of timelike-ruled and developable surfaces can be obtained from the coordinates and first ...
Fatemah Mofarreh
doaj   +1 more source

Global properties of spacelike curves in Minkowski 3-space [PDF]

open access: yes, 2005
We study global properties of closed spacelike curves in Minkowski 3 ...
Izumiya, Shyuichi   +2 more
core   +1 more source

On Pseudospherical Smarandache Curves in Minkowski 3-Space

open access: yesJournal of Applied Mathematics, 2014
In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions for the Sabban frame’s vectors
Esra Betul Koc Ozturk   +3 more
doaj   +1 more source

Spacelike Ac-Slant Curves with Non-Null Principal Normal in Minkowski 3-Space

open access: yesJournal of New Theory, 2023
In this paper, we define a spacelike ac-slant curve whose scalar product of its acceleration vector and a unit non-null fixed direction is a constant in Minkowski 3-space.
Hasan Altınbaş
doaj   +1 more source

New characterization of d-focal curves in Minkowski 3-space

open access: yes, 2018
In this paper, we construct new D-focal curves in the Minkowski 3-space M₁³. Finally, we give some characterizations about D-focal curves in the Minkowski 3-space M₁³.
Talat Körpınar   +2 more
core   +2 more sources

Structure Functions of Pseudo Null Curves in Minkowski 3-Space

open access: yesMathematics, 2020
In this work, the embankment surfaces with pseudo null base curves are investigated in Minkowski 3-space. The representation formula of pseudo null curves is obtained via the defined structure functions and the k-type pseudo null helices are discussed ...
Jinhua Qian   +3 more
doaj   +1 more source

On Pseudohyperbolical Smarandache Curves in Minkowski 3-Space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
We define pseudohyperbolical Smarandache curves according to the Sabban frame in Minkowski 3-space. We obtain the geodesic curvatures and the expression for the Sabban frame vectors of special pseudohyperbolic Smarandache curves.
Esra Betul Koc Ozturk   +3 more
doaj   +1 more source

Involutes of Pseudo-Null Curves in Lorentz–Minkowski 3-Space

open access: yesMathematics, 2021
In this paper, we analyze involutes of pseudo-null curves in Lorentz–Minkowski 3-space. Pseudo-null curves are spacelike curves with null principal normals, and their involutes can be defined analogously as for the Euclidean curves, but they exhibit ...
Rafael López   +3 more
doaj   +1 more source

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