Results 21 to 30 of about 2,097,491 (204)
Possible fluid interpretation and tidal force equation on a generic null hypersurface in Einstein-Cartan theory [PDF]
Physical Review D, 2022 The dynamical evolution of the Hajicek $1$-form is derived in Einstein-Cartan (EC) theory. We find that like Einstein theory of gravity, the evolution equation is related to a projected part of the Einstein tensor $(\hat{G}_{ab})$ on a generic null ...
S. Dey, Bibhas Ranjan Majhi
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BETCHOV-DA RIOS EQUATION BY NULL CARTAN, PSEUDO NULL AND PARTIALLY NULL CURVE IN MINKOWSKI SPACETIME [PDF]
, 2023 The aim of this paper is to investigate Betchov-Da Rios equation by using null Cartan, pseudo null and partially null curve in Minkowski spacetime. Time derivative formulas of frame of s parameter null Cartan, pseudo null and partially null curve are ...
Li, Yanlin, Yavuz, Ayse, Erdogdu, Melek
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The Frenet Frame as a Generalization of the Park Transform [PDF]
IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2022 The paper proposes a generalization of the Park transform based on the Frenet frame, which is a special set of coordinates defined in differential geometry for space curves.
F. Milano
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Some New Properties of Surfaces Generated by Null Cartan Curves [PDF]
, 2022 In this paper, some special types of surfaces with null Cartan base curve are investigated. The generating lines of the surfaces are chosen as a linear combination of Cartan frame fields with non-constant differentiable functions.
Ayşe YAVUZ +3 more
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Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps
Mathematics, 2020 In this work, a pair of dual associate null scrolls are defined from the Cartan Frenet frame of a null curve in Minkowski 3-space. The fundamental geometric properties of the dual associate null scrolls are investigated and they are related in terms of ...
Jinhua Qian, Xueshan Fu, Seoung Dal Jung
doaj +1 more source
Cartan's Moving Frame Method and Its Application to the Geometry and Evolution of Curves in the Euclidean, Affine and Projective Planes [PDF]
Applications of Invariance in Computer Vision, 1993 This article is a general introduction to Cartan's moving frame method which is elegant, simple and of an algorithmic nature. We have demonstrated how to use it systematically on three examples relevant to computer vision, curves in the euclidean, affine and projective planes, and derived the corresponding Frenet equations.
O. Faugeras
semanticscholar +3 more sources
Дифференциальная геометрия многообразий фигур, 2022 The study of hyperbands and their generalizations in spaces with different fundamental groups is of great interest in connection with numerous applications in mathematics and physics. In this paper, we study a special class of hyperbands, i.
N.A. Eliseeva, Yu. I. Popov
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Дифференциальная геометрия многообразий фигур, 2021 In the first-order frame a tangentially r-framed hyperband is given in the projective space. For simplicity of presentation, we adapt the frame by the field of the 1st kind normals. The tensor of nonholonomicity of clothing L-planes field is introduced.
Yu. I. Popov
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Presymplectic AKSZ formulation of Einstein gravity
Journal of High Energy Physics, 2021 Any local gauge theory can be represented as an AKSZ sigma model (upon parameterization if necessary). However, for non-topological models in dimension higher than 1 the target space is necessarily infinite-dimensional.
Maxim Grigoriev, Alexei Kotov
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Turkish Journal of Mathematics, 2023 : In this paper we introduce generalized Darboux frame of a spacelike curve α lying on a lightlike surface in Minkowski space E 31 . We prove that α has two such frames and obtain generalized Darboux frame’s equations.
Jelena Djordjević +2 more
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