Results 1 to 10 of about 13,251 (150)
Subtleties concerning conformal tractor bundles [PDF]
Open Mathematics, 2012 Abstract The realization of tractor bundles as associated bundles in conformal geometry is studied. It is shown that different natural choices of principal bundle with normal Cartan connection corresponding to a given conformal manifold can give rise to topologically distinct associated tractor bundles for the same inducing ...
C Robin Graham, Travis Willse
exaly +7 more sources
Curved Casimir Operators and the BGG Machinery [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We prove that the Casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential operator on arbitrary parabolic geometries.
Andreas Cap, Vladimír Soucek
doaj +8 more sources
Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds
Differential Geometry and its Applications, 2022 For every codimension two spacelike submanifold of a Lorentz manifold and each choice of a normal lightlike vector field, we introduce a canonical way to construct a tractor conformal bundle. We characterize when the induced connection of a such submanifold defines a tractor connection and then, in this case, when this tractor conformal bundle with the
Rodrigo Morón, Francisco J. Palomo
openaire +3 more sources
Simulation Modeling of Truck Load of Skidding Tractors with a Grapple for Chokerless Skidding
Croatian Journal of Forest Engineering, 2019 The objective of the present study is to define mass distribution laws for a bundle of trees using the methods of statistical simulation modeling in order to calculate chokerless skidding tractors lift capacity.
Ilya R. Shegelman +2 more
doaj +1 more source
Conformally invariant powers of the Laplacian, Q-curvature, and tractor calculus [PDF]
, 2003 We describe an elementary algorithm for expressing, as explicit formulae in tractor calculus, the conformally invariant GJMS operators due to C.R. Graham et alia. These differential operators have leading part a power of the Laplacian.
Gover, A. Rod, Peterson, Lawrence J.
core +1 more source
Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds [PDF]
, 2012 On locally conformally flat manifolds we describe a construction which maps generalised conformal Killing tensors to differential operators which may act on any conformally weighted tensor bundle; the operators in the range have the property that they ...
Gover, A. Rod, Silhan, Josef
core +3 more sources
Results of simulation modeling of tractor regenerative linkage system operation [PDF]
BIO Web of ConferencesThe main factors that have the greatest impact on the change in the efficiency of timber road trains are determined. A promising design of a recuperative cone device with a ball support for the timber platform of a tractor is proposed.
Nikonov Vadim +3 more
doaj +1 more source
The Geometry of Almost Einstein (2,3,5) Distributions [PDF]
, 2017 We analyze the classic problem of existence of Einstein metrics in a given conformal structure for the class of conformal structures inducedf Nurowski's construction by (oriented) (2,3,5) distributions.
Sagerschnig, Katja, Willse, Travis
core +1 more source
A Projective-to-Conformal Fefferman-Type Construction [PDF]
, 2017 We study a Fefferman-type construction based on the inclusion of Lie groups ${\rm SL}(n+1)$ into ${\rm Spin}(n+1,n+1)$. The construction associates a split-signature $(n,n)$-conformal spin structure to a projective structure of dimension $n$.
Hammerl, Matthias +4 more
core +3 more sources
About Twistor Spinors with Zero in Lorentzian Geometry [PDF]
, 2009 We describe the local conformal geometry of a Lorentzian spin manifold $(M,g)$ admitting a twistor spinor $\phi$ with zero. Moreover, we describe the shape of the zero set of $\phi$. If $\phi$ has isolated zeros then the metric $g$ is locally conformally
Leitner, Felipe
core +4 more sources