Results 101 to 110 of about 3,546 (188)
Bour’s theorem in Minkowski 3-space
Kyoto Journal of Mathematics, 2006 In this study, we show that a generalized helicoid with null axis is isometric to a rotation surface with null axis so that helices on the helicoid correspond to parallel circles on the rotation surface in three dimensional Minkowski space. Moreover, we obtained that these surfaces are minimal. An addition, if these surfaces have the same Gauss map, we
Güler, Erhan, Vanli, Aysel Turgut
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Harmonic maps to the circle with higher dimensional singular set
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
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Tzitzeica-Type centro-affine invariants in Minkowski spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this article we introduce three centro-affine invariant functions in Minkowski spaces. Tzitzeica curves and Tzitzeica surfaces may be defined in this new context.
Bobe Alexandru +2 more
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κ -Minkowski representations on Hilbert spaces [PDF]
Journal of Mathematical Physics, 2007 The algebra of functions on κ-Minkowski noncommutative space-time is studied as algebra of operators on Hilbert spaces. The representations of this algebra are constructed and classified. This new approach leads to a natural construction of integration in κ-Minkowski space-time in terms of the usual trace of operators.
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Coloring and density theorems for configurations of a given volume
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract This is a treatise on finite point configurations spanning a fixed volume to be found in a single color‐class of an arbitrary finite (measurable) coloring of the Euclidean space Rn$\mathbb {R}^n$, or in a single large measurable subset A⊆Rn$A\subseteq \mathbb {R}^n$.
Vjekoslav Kovač
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Ordering events in Minkowski space
Advances in Applied Mathematics, 2006 17 ...
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Spectral geometry of κ-Minkowski space [PDF]
Journal of Mathematical Physics, 2006 After recalling Snyder’s idea [Phys. Rev. 71, 38 (1947)] of using vector fields over a smooth manifold as “coordinates on a noncommutative space,” we discuss a two-dimensional toy-model whose “dual” noncommutative coordinates form a Lie algebra: this is the well-known κ-Minkowski space [Phys. Lett. B 334, 348 (1994)].
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Einstein’s physical chronogeometry
ManuscritoIn Einstein’s physical geometry, the geometry of space and the uniformity of time are taken to be non-conventional. However, due to the stipulation of the isotropy of the one-way speed of light in the synchronization of clocks (or definition of ...
Mario Bacelar Valente
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Bubble universe from flat spaces
European Physical Journal C: Particles and FieldsWe show by matching two flat spaces one in Minkowski coordinates ( empty space) and the other in Minkowski coordinates after a special conformal transformation (also empty space) through a bubble with positive and constant surface tension, that the ...
Eduardo Guendelman, Jacov Portnoy
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Generalized open sets of Minkowski space [PDF]
Mathematica Moravica, 2015 We consider the Euclidean topology and s-topology on n-dimensional Minkowski space and investigate the interior and closure of the space cone and perforated space cone with respect to these topologies.
Ersoy Soley, Bilgin Merve, Ince Ibrahim
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