Results 1 to 10 of about 290 (118)
Homotheties and incidences [PDF]
Discrete Mathematics, 2018 We consider problems involving rich homotheties in a set S of n points in the plane (that is, homotheties that map many points of S to other points of S). By reducing these problems to incidence problems involving points and lines in R^3, we are able to obtain refined and new bounds for the number of rich homotheties, and for the number of distinct ...
Micha Sharir
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Abelian varieties without homotheties [PDF]
Mathematical Research Letters, 2007 A celebrated theorem of Bogomolov asserts that the $\ell$-adic Lie algebra attached to the Galois action on the Tate module of an abelian variety over a number field contains all homotheties. This is not the case in characteristic $p$: a "counterexample" is provided by an ordinary elliptic curve defined over a finite field. In this note we discuss (and
Yuri Zarhin
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Homotheties and topology of tangent sphere bundles [PDF]
Journal of Geometry, 2014 We prove a Theorem on homotheties between two given tangent sphere bundles $S_rM$ of a Riemannian manifold $M,g$ of $\dim\geq 3$, assuming different variable radius functions $r$ and weighted Sasaki metrics induced by the conformal class of $g$. New examples are shown of manifolds with constant positive or with constant negative scalar curvature, which
Rui Albuquerque
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Transformations and Preservation of Self-assembly Dynamics through Homotheties [PDF]
Lecture Notes in Computer Science, 2008 We introduce a new notion in self-assembly, that of transforming the dynamics of assembly. This notion allows us to have transformation of the plane computed within the assembly process. Then we apply this notion to zooming. The possibility of zooming depends on the order condition. This shows that this condition, which arose from engineering concerns (
Becker, Florent
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Homotheties of Finsler manifolds∗ [PDF]
SUT Journal of Mathematics, 2010 We give a new and complete proof of the following theorem, discovered by Detlef Laugwitz: (forward) complete and connected finite dimensional Finsler manifolds admitting a proper homothety are Minkowski vector spaces. More precisely, we show that under these hypotheses the Finsler manifold is isometric to the tangent Minkowski vector space of the fixed
Lovas, Rezsö L., Szilasi, József
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Mathematics, 2016 In this paper we find the Noether symmetries of the Lagrangian of cylindrically symmetric static spacetimes. Using this approach we recover all cylindrically symmetric static spacetimes appeared in the classification by isometries and homotheties.
Farhad Ali, Tooba Feroze
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Finite Minkowski planes of type 20 with respect to homotheties
Finite Fields and Their Applications, 2016 In [J. Geom. 43, No. 1--2, 116--128 (1992; Zbl 0746.51009)], \textit{M. Klein} classified Minkowski planes with respect to \(\{p,p'\}\)-homotheties. If \({\mathcal M}\) is a Minkowski plane and \(p\) and \(p'\) are non-parallel points of \({\mathcal M}\), then a \(\{p,p'\}\)-homothety is an automorphism of \({\mathcal M}\) fixing both \(p\) and \(p ...
Günter Steinke
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Homothety curvature homogeneity and homothety homogeneity [PDF]
Annals of Global Analysis and Geometry, 2015 This article supersedes arXiv:1309 ...
García-Río, E. +2 more
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On the homothety conjecture [PDF]
Indiana University Mathematics Journal, 2011 Let $K$ be a convex body in $\bbR^n$ and $\d>0$. The homothety conjecture asks: Does $K_{\d}=c K$ imply that $K$ is an ellipsoid? Here $K_{\d}$ is the (convex) floating body and $c$ is a constant depending on $\d$ only. In this paper we prove that the homothety conjecture holds true in the class of the convex bodies $B^n_p$, $1\leq p\leq \infty ...
Werner, Elisabeth M., Ye, Deping
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The automorphisms and error orbits of Reed – Solomon codes
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2020 The purpose of this work with its results presented in the article was to develop and transfer to the class of Reed – Solomon codes (RS-codes) the basic provisions of the theory of syndrome norms (TNS), previously developed for the noise-resistant coding
S. I. Semyonov, V. A. Lipnitsky
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