Results 21 to 30 of about 6,630 (141)
Smarandache Breadth Pseudo Null Curves in Minkowski Space-time [PDF]
A regular curve with more than 2 breadths in Minkowski 3-space is called a Smarandache Breadth Curve [8]. In this short paper, we adapt notion of Smarandache breadth curves to Pseudo null curves in Minkowski space-time and study a special case of ...
Turgut, Melih, Melih Turgut
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Characterizations of Some Special Space-like Curves in Minkowski Space-time [PDF]
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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A-topology for Minkowski space [PDF]
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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Horoballs in simplices and Minkowski spaces [PDF]
We obtain precise descriptions of all horoballs for Hilbert′s geometry on simplices and for normed finite‐dimensional vector spaces with norm given by some polyhedron. Certain geometrical consequences are deduced and several other applications are pointed out, which concern the dynamics of important classes of nonlinear self‐maps of convex cones.
Anders Karlsson +2 more
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Structural explanations in Minkowski spacetime: which account of models? [PDF]
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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Geometry of Simplices in Minkowski Spaces [PDF]
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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Renormalization in Minkowski space–time [PDF]
The multiplicative and the functional renormalization group methods are applied for the four-dimensional scalar theory in Minkowski space–time. It is argued that the appropriate choice of the subtraction point is more important in Minkowski than in Euclidean space–time.
Steib, I., Nagy, S., Polonyi, J.
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On the Time-like Curves of Constant Breadth in Minkowski 3-Space [PDF]
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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Evolutoids and pedaloids of frontals on timelike surfaces
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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The Geometry of Bezier Curves in Minkowski 3−Space
The scope of this paper is to look at some aspects of the differential geometry of Bezier curves in Minkowski space. For that purpose, we firstly introduce Frenet Bezier curve in Minkowski 3-space.
Ayşe Yılmaz Ceylan
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