Results 31 to 40 of about 3,864,161 (223)
On the Weyl Problem in Minkowski Space [PDF]
International Mathematics Research Notices, 2021 Abstract Let $S$ be a closed surface of hyperbolic type. We show that, for every pair $(g_+,g_-)$ of negatively curved metrics over $S$, there exists a unique globally hyperbolic, maximal, and Cauchy compact Minkowski spacetime $X$ into which $(S,g_+)$ and $(S,g_-)$ isometrically embed as Cauchy surfaces in the future and past components,
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Characterizations of Some Special Space-like Curves in Minkowski Space-time [PDF]
, 2008 In this work, a system of differential equation on Minkowski space-time, a special case of Smarandache geometries, whose solution gives the components of a space-like curve on Frenet axis is constructed by means of Frenet equations.
Turgut, Melih, Yilmaz, Suha
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Null Darboux Curve Pairs in Minkowski 3-Space
Axioms, 2021 Based on the fundamental theories of null curves in Minkowski 3-space, the null Darboux mate curves of a null curve are defined which can be regarded as a kind of extension for Bertrand curves and Mannheim curves in Minkowski 3-space.
Jinhua Qian +3 more
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Some Remarks on Harmonic Functions in Minkowski Spaces
Mathematics, 2019 We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function.
Songting Yin
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Geometry of Simplices in Minkowski Spaces [PDF]
Results in Mathematics, 2018 There are many problems and configurations in Euclidean geometry that were never extended to the framework of (normed or) finite dimensional real Banach spaces, although their original versions are inspiring for this type of generalization, and the analogous definitions for normed spaces represent a promising topic.
Leopold, Undine, Martini, Horst
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On the Time-like Curves of Constant Breadth in Minkowski 3-Space [PDF]
, 2008 A regular curve with more than 2 breadths in Minkowski 3-space is called a Smarandache breadth curve. In this paper, one studies a special case of Smarandache breadth curves. Some characterizations of the time-like curves of constant breadth in Minkowski
Yilmaz, Suha, Turgut, Melih
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A New Angular Measurement in Minkowski 3-Space
Mathematics, 2020 In Lorentz−Minkowski space, the angles between any two non-null vectors have been defined in the sense of the angles in Euclidean space. In this work, the angles relating to lightlike vectors are characterized by the Frenet frame of a pseudo null ...
Jinhua Qian +3 more
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A-topology for Minkowski space [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1979 AbstractWe consider in this paper a topology (which we call the A-topology) on Minkowski space, the four-dimensional space–time continuum of special relativity and derive its group of homeomorphisms. We define the A-topology to be the finest topology on Minkowski space with respect to which the induced topology on time-like and light-like lines is one ...
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Structural explanations in Minkowski spacetime: which account of models? [PDF]
, 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
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Evolutoids and pedaloids of frontals on timelike surfaces
Open Mathematics, 2023 In this article, we define evolutoids and pedaloids of frontals on timelike surfaces in Minkowski 3-space. The evolutoids of frontals on timelike surfaces are not only the generalization of evolutoids of curves in the Minkowski plane but also the ...
Wang Yongqiao +3 more
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