Results 11 to 20 of about 1,954,108 (266)
Notes on scattering amplitudes as differential forms
Journal of High Energy Physics, 2018 Inspired by the idea of viewing amplitudes in N = 4 $$ \mathcal{N}=4 $$ SYM as differential forms on momentum twistor space, we introduce differential forms on the space of spinor variables, which combine helicity amplitudes in any four-dimensional gauge
Song He, Chi Zhang
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Combinatorial Differential Forms
Advances in Mathematics, 2001 LaTeX, 49 pages, uses xy ...
Breen, Lawrence, Messing, William
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Axiomatic Differential Geometry II-2: Differential Forms [PDF]
, 2013 We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated.
Nishimura, Hirokazu
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On the effects of geometry on guided electromagnetic waves [PDF]
Theoretical and Applied Mechanics, 2007 The method of moving (Cartan) coframes is used to analyze the influence of geometry on the behavior of electromagnetic fields in confining guides and the effect of such fields on their ultra-relativistic sources.
Tucker Robin W.
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DIFFERENTIAL FORMS ON DIFFERENTIAL SPACES
Demonstratio Mathematica, 1994 Die Autoren definieren die wesentlichen Begriffe, um eine Analysis auf Differentialräumen \((M,C)\) zu konstruieren: \(k\)-Vektoren, Differentialformen, äußere Ableitung und Integration. Dabei gehen sie nicht vom üblichen Begriff des Tangentialvektors als Derivation auf \(C\) aus, sondern definieren ``glatte Halbkurven'' als glatte Abbildungen \([0,1[ \
Mąka, R., Urbański, P.
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A primer on exterior differential calculus [PDF]
Theoretical and Applied Mechanics, 2003 A pedagogical application-oriented introduction to the calculus of exterior differential forms on differential manifolds is presented. Stokes' theorem, the Lie derivative, linear connections and their curvature, torsion and non-metricity are discussed.
Burton D.A.
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Poisson transforms for differential forms [PDF]
, 2016 We give a construction of a Poisson transform mapping density valued differential forms on generalized flag manifolds to differential forms on the corresponding Riemannian symmetric spaces, which can be described entirely in terms of finite dimensional ...
Harrach, Christoph
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The computational algorithm and numerical analysis of the signed diagonal Hodge star operator
Nihon Kikai Gakkai ronbunshu, 2019 Differential form is an alternative mathematical form to describe the field variables and the operators in electromagnetism. From the viewpoint of differential forms, discretization of electromagnetic field is divided into two steps, i) discretization of
Satoshi NOGUCHI, Kenji OGUNI
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Maps generating normals on a manifold
Дифференциальная геометрия многообразий фигур, 2019 The first- and second-order canonical forms are considered on a smooth m-manifold. The approach connected with coordinate expressions of basic and fiber forms, and first- and second-order tangent vectors on a manifold is implemented.
K. Polyakova
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Discrete Lie Advection of Differential Forms [PDF]
, 2010 In this paper, we present a numerical technique for performing Lie advection of arbitrary differential forms. Leveraging advances in high-resolution finite volume methods for scalar hyperbolic conservation laws, we first discretize the interior product ...
A. Mckenzie +15 more
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