Results 41 to 50 of about 5,426 (162)
Gravitational Waves: Just Plane Symmetry [PDF]
, 1999 We present some remarkable properties of the symmetry group for gravitational plane waves. Our main observation is that metrics with plane wave symmetry satisfy every system of generally covariant vacuum field equations except the Einstein equations. The
A. Petrov +17 more
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Angels' staircases, Sturmian sequences, and trajectories on homothety surfaces
Journal of Modern Dynamics, 2020 40 pages, 9 figures. Updated references and text to reflect additional connections with existing literature.
Joshua P. Bowman, Slade Sanderson
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On Minimal Absorption Index for an n-Dimensional Simplex
Моделирование и анализ информационных систем, 2018 Let \(n\in{\mathbb N}\) and let \(Q_n\) be the unit cube \([0,1]^n\). For a nondegenerate simplex \(S\subset{\mathbb R}^n\), by \(\sigma S\) denote the homothetic copy of \(S\) with center of homothety in the center of gravity of \(S\) and ratio of ...
Mikhail V. Nevskii, Alexey Y. Ukhalov
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The Geometry of (Super) Conformal Quantum Mechanics [PDF]
, 1999 N-particle quantum mechanics described by a sigma model with an N-dimensional target space with torsion is considered. It is shown that an SL(2,R) conformal symmetry exists if and only if the geometry admits a homothetic Killing vector $D^a$ whose ...
Michelson, Jeremy, Strominger, Andrew
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Connaissance et métamorphoses de l’Iliade en Étrurie
Aitia, 2022 The author offers an itinerary through the images of the Trojan Cycle and the Iliad that arrived or were reinterpreted in Etruria between the ancient orientalizing period and the 4th century B.C.From the 7th century on, knowledge of the Greek epic (which
Françoise-Hélène Massa-Pairault
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Two-Time Physics with gravitational and gauge field backgrounds [PDF]
, 2000 It is shown that all possible gravitational, gauge and other interactions experienced by particles in ordinary d-dimensions (one-time) can be described in the language of two-time physics in a spacetime with d+2 dimensions.
C. R. Preitschopf +33 more
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On Some Results in the Geometry of Convex Bodies and their Applications
Моделирование и анализ информационных систем, 2015 We give a survey of some results in the geometry of convex bodies and their applications.
M. V. Nevskii
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On a class of topological conjugacy with a homothety
Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2020 We consider a class H(Rn) of orientation-preserving homeomorphisms of Euclidean space Rn such that for any homeomorphism h∈H(Rn) and for any point x∈Rn a condition limn→+∞hn(x)→O holds, were O is the origin. It is proved that for any n≥1 an arbitrary homeomorphism h∈H(Rn) is topologically conjugated with the homothety an:Rn→Rn, given by an(x1,…,an ...
E. Ya. Gurevich, Aleksey A. Makarov
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Сучасні інформаційні системи, 2019 The subject matter of the paper is the problem of optimal packing of spheres of different dimension into a container of arbitrary geometric shape. The goal is to construct a mathematical model which associates different statements of the problem.
Georgiy Yaskov, Sergiy Shekhovtsov
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Five-dimensional Perfect Simplices
, 2017 Let $Q_n=[0,1]^n$ be the unit cube in ${\mathbb R}^n$, $n \in {\mathbb N}$. For a nondegenerate simplex $S\subset{\mathbb R}^n$, consider the value $\xi(S)=\min \{\sigma>0: Q_n\subset \sigma S\}$.
Nevskii, Mikhail, Ukhalov, Alexey
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