Results 11 to 20 of about 35,567 (199)
Mathematics, 2021 A novel geometric modeling and calculation method for forward displacement analysis of the 6-3 Stewart platforms is proposed by using the conformal geometric algebra (CGA) framework.
Ganmin Zhu +3 more
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Lightlike infinity in GCA models of Spacetime [PDF]
, 2004 This paper discusses a 7 dimensional conformal geometric algebra model for spacetime based on the notion that spacelike and timelike infinities are distinct.
+21 more
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Nuclear Physics B, 2015 We study the minimal unitary representation (minrep) of SO(5,2), obtained by quantization of its geometric quasiconformal action, its deformations and supersymmetric extensions.
Sudarshan Fernando, Murat Günaydin
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Vertex operator algebras and operads [PDF]
, 1993 Vertex operator algebras are mathematically rigorous objects corresponding to chiral algebras in conformal field theory. Operads are mathematical devices to describe operations, that is, $n$-ary operations for all $n$ greater than or equal to $0$, not ...
AA Belavin +12 more
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Invariants of Space Line Element Structure Based on Projective Geometric Algebra
IEEE Access, 2020 Based on the theory of Conformal Geometric Algebra, this paper presents a geometric constraint structure consisting of seven straight lines on three adjacent planes and its projective invariants, which can be obtained from a single frame image. Comparing
Zhang Youzheng, Mui Yanping
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Non-relativistic conformal symmetries and Newton-Cartan structures [PDF]
, 2009 This article provides us with a unifying classification of the conformal infinitesimal symmetries of non-relativistic Newton-Cartan spacetime. The Lie algebras of non-relativistic conformal transformations are introduced via the Galilei structure.
Christian Duval +3 more
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Geometric modular action for disjoint intervals and boundary conformal field theory [PDF]
, 2009 In suitable states, the modular group of local algebras associated with unions of disjoint intervals in chiral conformal quantum field theory acts geometrically.
Buchholz D. +6 more
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DOA estimation for conformal vector-sensor array using geometric algebra
EURASIP Journal on Advances in Signal Processing, 2017 In this paper, the problem of direction of arrival (DOA) estimation is considered in the case of multiple polarized signals impinging on the conformal electromagnetic vector-sensor array (CVA).
Tianzhen Meng, Minjie Wu, Naichang Yuan
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Applications of Conformal Geometric Algebra to Transmission Line Theory
IEEE Access, 2017 In this paper, we present the application of a projective geometry tool known as conformal geometric algebra (CGA) to transmission line theory. Explicit relationships between the Smith Chart, Riemann Sphere, and CGA are developed to illustrate the ...
Alex Arsenovic
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Carrollian and celestial spaces at infinity
Journal of High Energy Physics, 2022 We show that the geometry of the asymptotic infinities of Minkowski spacetime (in d + 1 dimensions) is captured by homogeneous spaces of the Poincaré group: the blow-ups of spatial (Spi) and timelike (Ti) infinities in the sense of Ashtekar-Hansen and a ...
José Figueroa-O’Farrill +3 more
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