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Impact of Geometry on Chemical Analysis Exemplified for Photoelectron Spectroscopy of Black Silicon. [PDF]
Small MethodsNeurohr JU +8 more
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Geometric and singularities insights of swept surfaces via the Bishop frame in Euclidean 3-Space. [PDF]
PLoS OneMofarreh F, Abdel-Baky R, Alsahli M.
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Extended Minkowski spaces, zero norms, and Minkowski hypersurfaces
Journal of Mathematical Chemistry, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramon Carbó-Dorca, Tanmoy Chakraborty
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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.
Garipov, R. M., Churkin, V. A.
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Results in Mathematics, 1990
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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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1993
The concept of symmetry groups has a mathematically well defined generalization in the framework of Hopf algebras. Such generalizations have become known as quantum groups- these are Hopf algebras with an algebraic structure which depends on one or more parameters q (q ∊ C,q ≠ 0), such that for a particular value of these parameters, say q = 1, the ...
Julius Wess +3 more
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The concept of symmetry groups has a mathematically well defined generalization in the framework of Hopf algebras. Such generalizations have become known as quantum groups- these are Hopf algebras with an algebraic structure which depends on one or more parameters q (q ∊ C,q ≠ 0), such that for a particular value of these parameters, say q = 1, the ...
Julius Wess +3 more
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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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