Results 11 to 20 of about 290 (118)
Homotheties of a Class of Spherically Symmetric Space-Time Admitting G3 as Maximal Isometry Group [PDF]
Advances in Mathematical Physics, 2018 The homotheties of spherically symmetric space-time admitting G4, G6, and G10 as maximal isometry groups are already known, whereas, for the space-time admitting G3 as isometry groups, the solution in the form of differential constraints on metric ...
Daud Ahmad, Kashif Habib
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Topological homotheties on compact Hausdorff spaces [PDF]
Proceedings of the American Mathematical Society, 1969 It is the purpose of this note to extend this result to nonmetrizable compact Hausdorff spaces, replacing the role of metrics by generating families of pseudometrics. Let X be a completely regular space. A family aDE= {Pa f } of pseudometrics pa(x, y) on X will be called a generating family on X iff it generates the topology of X. (The system of sets B
Ludv{í}k Janoš
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Homotheties and Coverings by Convex Sets
, 2023 It is shown that, for any function $g$ that is weakly increasing on compact convex sets and has the property that if $λ\ge 0$ and $K^\prime$ is a translate of $λK$ then $g(K^\prime) =λg(K)$, then for any covering $\bigcup_i X_i\supseteq X$ of a compact convex set $X$ by finitely many compact convex sets $X_i$, the inequality $g(X) \leq \sum_i g(X_i ...
Lawrence, Jim
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Interferometric apodization by homothety – II. Experimental validation
Monthly Notices of the Royal Astronomical Society, 2023 ABSTRACT This work presents the results of experimental laboratory tests on the apodization of circular and rectangular apertures using the Interferometric Apodization by Homothety (IAH) technique. The IAH approach involves splitting the amplitude of the instrumental PSF into two equal parts.
J Chafi +6 more
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On four dimensional Dupin hypersurfaces in Euclidean space
Anais da Academia Brasileira de Ciências, 2003 Dupin hypersurfaces in five dimensional Euclidean space parametrized by lines of curvature, with four distinct principal curvatures, are considered. A generic family of such hypersurfaces is locally characterized in terms of the principal curvatures and ...
CARLOS M. C. RIVEROS, KETI TENENBLAT
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Advances in Mathematical Physics, 2017 The aim of this paper is to give the geometrical/physical interpretation of the conserved quantities corresponding to each Noether symmetry of the geodetic Lagrangian of plane symmetric space-times.
Bismah Jamil +2 more
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Interferometric apodization by homothety – I. Optimization of the device parameters
Monthly Notices of the Royal Astronomical Society, 2023 ABSTRACT This study is focused on the very high dynamic imaging field, specifically the direct observation of exoplanetary systems. The coronagraph is an essential technique for suppressing the star’s light, making it possible to detect an exoplanet with a very weak luminosity compared to its host star. Apodization improves the rejection
J Chafi +6 more
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Some Properties of Ruled Surfaces under Homothety in E3 [PDF]
Mathematical and Computational Applications, 2002 It is clearly that, If f : E3→E3 is a homothety and \(\varphi\) is a surface in three dimensional Euclidean space E3, \(f(\varphi) = \overline{\varphi}\) is also a surface in E3. In this paper, the surface \(\varphi\) has been taken a ruled surface, specially. It was shown that image surface \(f(\varphi) = \overline{\varphi}\) has been a ruled surface,
Kasap E., Yüce S., Kuruoğlu N.
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On kleinewillingh¨ofer types of finite laguerre planes with respect to homotheties [PDF]
, 2017 © 2016, University of Queensland. All rights reserved. Kleinewillinghöfer classified Laguerre planes with respect to central automorphisms and obtained a multitude of types.
Steinke GF
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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 ...
Elena Ya. Gurevich, Aleksey A. Makarov
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