Results 131 to 140 of about 5,263,618 (237)

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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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, Boskoff Wladimir G., Ciucă Marian G.   +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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Direct Bethe-Salpeter solutions in Minkowski space

EPJ Web of Conferences, 2016
We review a method to directly solve the Bethe-Salpeter equation in Minkowski space, both for bound and scattering states. It is based on a proper treatment of the many singularities which appear in the kernel and propagators.
Carbonell J., Karmanov V.A.
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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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Bubble universe from flat spaces

European Physical Journal C: Particles and Fields
We 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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Einstein’s physical chronogeometry

Manuscrito
In 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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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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Non-Gaussian Expansion of Minkowski Tensors in Redshift Space

The Astrophysical Journal
This paper focuses on extending the use of Minkowski tensors to analyze anisotropic signals in cosmological data, focusing on those introduced by redshift space distortions.
Stephen Appleby, Christophe Pichon, Pravabati Chingangbam, Dmitri Pogosyan, Changbom Park   +4 more
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