Results 231 to 240 of about 115,622 (258)
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Journal of Mathematical Physics, 1971
The purpose of this paper is to prove one of Zeeman's conjectures that the group of homeomorphisms of the finest topology on Minkowski space that induces the 3-dimensional Euclidean topology on spacelike hyperplanes is the one generated by the inhomogeneous Lorentz group and dilatations.
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The purpose of this paper is to prove one of Zeeman's conjectures that the group of homeomorphisms of the finest topology on Minkowski space that induces the 3-dimensional Euclidean topology on spacelike hyperplanes is the one generated by the inhomogeneous Lorentz group and dilatations.
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The Fermat problem in Minkowski spaces
Geometriae Dedicata, 1985Für k gegebene Punkte \(x_ 1,...,x_ k\) eines n-dimensionalen Minkowskiraumes wird ein Punkt gesucht, dessen Distanzsumme von \(x_ 1,...,x_ k\) minimal ist. Die Lösung kann mit Hilfe konvexer Polyeder, für die die Summe der Abstände der Seitenflächen von jedem inneren Punkt konstant ist, charakterisiert werden.
Mostafa Ghandehari, G.D. Chakerian
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Quasicrystallographic groups on Minkowski spaces
Siberian Mathematical Journal, 2009Summary: We generalize the quasicrystallographic groups in the sense of Novikov and Veselov from Euclidean spaces to pseudo-Euclidean and affine spaces. We prove that the quasicrystallographic groups on Minkowski spaces whose rotation groups satisfy an additional assumption are projections of crystallographic groups on pseudo-Euclidean spaces.
V. A. Churkin, R. M. Garipov
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A metric space of directions in Minkowski space
Journal of Geometry, 2004Recently the author has introduced a new angular measure in \(d\)-dimensional Minkowski space [ibid. 80, No. 1--2, 31--47 (2004; Zbl 1068.51001)]. It determines the length of rectifiable curves on the \((d- 1)\)-dimensional topological sphere \(S\) that is the boundary of the convex set that serves as unit ball. Hence a Finsler metric is established on
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PLATEAU'S PROBLEM IN MINKOWSKI SPACE
Analysis, 1985The author proves that any spacelike immersion of \(S^{n-2}\) into the n- dimensional Minkowski space which admits some spacelike extension to the unit ball \(B\subset {\mathbb{R}}^{n-1}\) is the boundary of a maximal (with respect to the induced metric) spacelike immersion of B. In the case \(n=3\) it is shown that such a maximal surface is in general
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Results in Mathematics, 1990
Under the common relativistic velocity composition law the relativistically admissible velocities form a weakly associative-commutative group (WACG) rather than an ordinary group. A study of the resulting abstract WACG led to the development of a method of constructing other concrete WACGs, two of which are presented here.
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Under the common relativistic velocity composition law the relativistically admissible velocities form a weakly associative-commutative group (WACG) rather than an ordinary group. A study of the resulting abstract WACG led to the development of a method of constructing other concrete WACGs, two of which are presented here.
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2023Hans-Curt Flemming +2 more
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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