Results 11 to 20 of about 11,999 (257)
Spinors in Five-Dimensional Contact Geometry
, 2022 We use classical (Penrose) two-component spinors to set up the differential geometry of two parabolic contact structures in five dimensions, namely ₂ contact geometry and Legendrean contact geometry.
Moy, Timothy, Eastwood, Michael
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PARABOLIC GEODESICS AS PARALLEL CURVES IN PARABOLIC GEOMETRIES [PDF]
International Journal of Mathematics, 2013 We give a simple characterization of the parabolic geodesics introduced by Čap, Slovák and Žádník for all parabolic geometries. This goes through the definition of a natural connection on the space of Weyl structures. We then show that parabolic geodesics can be characterized as the following data: a curve on the manifold and a Weyl structure along ...
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Subriemannian Metrics and the Metrizability of Parabolic Geometries [PDF]
The Journal of Geometric Analysis, 2019 25 ...
David M. J. Calderbank +2 more
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On Distinguished Curves in Parabolic Geometries
Transformation Groups, 2004 All parabolic geometries, i.e. Cartan geometries with homogeneous model a real generalized flag manifold, admit highly interesting classes of distinguished curves. The geodesics of a projective class of connections on a manifold, conformal circles on conformal Riemannian manifolds, and Chern--Moser chains on CR--manifolds of hypersurface type are ...
Cap, Andreas, Slovak, Jan, Zadnik, V
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k-Dirac Operator and Parabolic Geometries [PDF]
Complex Analysis and Operator Theory, 2013 The principal group of a Klein geometry has canonical left action on the homogeneous space of the geometry and this action induces action on the spaces of sections of vector bundles over the homogeneous space. This paper is about construction of differential operators invariant with respect to the induced action of the principal group of a particular ...
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Minimal Parabolic Geometries for the Sporadic Groups
European Journal of Combinatorics, 1984 Most of the finite simple groups are of Lie type, and these act on geometries called Tits buildings [\textit{J. Tits}, Buildings of spherical type, Lect. Notes Math. 386 (1974; Zbl 0295.20047)]. Analogous geometries for sporadic simple groups were first studied by \textit{F. Buekenhout} [J. Comb. Theory, Ser.
Mark A. Ronan, Gernot Stroth
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Geometry and conservation laws for a class of second-order parabolic equations ii: conservation laws
, 2021 I consider the existence and structure of conservation laws for the general class of evolutionary scalar second-order differential equations with parabolic symbol. First I calculate the linearized characteristic cohomology for such equations.
McMillan, B.B., McMillan, Benjamin B.
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The gap phenomenon in parabolic geometries [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2014 AbstractThe infinitesimal symmetry algebra of any Cartan geometry has maximum dimension realized by the flat model, but often this dimension drops significantly when considering non-flat geometries, so a gap phenomenon arises. For general (regular, normal) parabolic geometries of type(G,P)${(G,P)}$, we use Tanaka theory to derive a universal upper ...
Kruglikov, Boris, The, Dennis
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Hölder estimates for parabolic operators on domains with rough boundary [PDF]
, 2015 In this paper we investigate linear parabolic, second-order boundary value problems with mixed boundary conditions on rough domains. Assuming only boundedness/ellipticity on the coefficient function and very mild conditions on the geometry of the domain -
ter Elst, A. F. M. +3 more
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Critical behaviour in parabolic geometries [PDF]
Journal of Physics A: Mathematical and General, 1991 We study two-dimensional systems with boundary curves described by power laws. Using conformal mappings we obtain the correlations at the bulk critical point. Three different classes of behaviour are found and explained by scaling arguments which also apply to higher dimensions.
Peschel, I., Turban, L., Igloi, Ferenc
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