• Corpus ID: 116455248

Natural Operations in Di erential Geometry Springer-Verlag

  title={Natural Operations in Di erential Geometry Springer-Verlag},
  author={Rolf Kola and Peter W. Michor and Jan Slov{\'a}k},
The Tangent Groups of a Lie Group and Gauge Invariance in Lagrangian Dynamics
A tangent Lie group with elements and group operations which are tangent prolongations of those corresponding to another Lie group is examined. An action of such extended Lie group on differentiable
Do Bosons Feel Spin Frames?
In order to allow a coherent dynamicalspinor-matter coupling in a previous paper of ours weintroduced new variables to describe gravitationalfield, related to spin structures and called spinframes. A
Prolongation of tangent valued forms to Weil bundles
We prove that the so-called complete lifting of tangent valued forms from a manifold M to an arbitrary Weil bundle over M preserves the Frr olicher-Nijenhuis bracket. We also deduce that the complete
Differential geometry of g-manifolds
For a more general notion of Cartan connection we define characteristic classes, we investigate their relation to usual characteristic classes.
Liftings of $1$-forms to the linear $r$-tangent bundle
Let r; n be xed natural numbers. We prove that for n-manifolds the set of all linear natural operators T ! T T (r) is a nitely dimensional vector space over R. We construct explicitly the bases of
G R ] 8 F eb 2 02 0 Tangent prolongation of C r-differentiable loops
The aim of our paper is to generalize the tangent prolongation of Lie groups to nonassociative multiplications and to examine how the weak associative and weak inverse properties are transferred to
Poisson transforms for differential forms adapted to the flat parabolic geometries on spheres
Das Ziel dieser Dissertation ist die Einfuhrung eines neuen Zugangs zu Poissontransformationen zwischen vektorbundelwertigen Differentialformen auf homogenen parabolischen Geometrien $G/P$ und
Operator Representations in Geometry Processing
The operator perspective and its application to di↵erential equations, as depicted in this work, provides an interesting alternative, among the other approaches, for working with complex problems on non-flat geometries.
This book proposes a review and, on some important points, a new interpretation of the main concepts of Theoretical Physics. Rather than offering an interpretation based on exotic physical