I. Manifolds and Lie Groups.- II. Differential Forms.- III. Bundles and Connections.- IV. Jets and Natural Bundles.- V. Finite Order Theorems.- VI. Methods for Finding Natural Operators.- VII.… Expand

The first monograph on parabolic geometry in the literature
following several ground-braking results achieved by the
authors and their collaborators in the last two decades. The
volume will be… Expand

Motivated by the rich geometry of conformal Riemannian manifolds and by the recent development of geometries modeled on homogeneous spaces $G/P$ with $G$ semisimple and $P$ parabolic, Weyl structures… Expand

This paper demonstrates the power of the calculus developed in the two previous parts of the series for all real forms of the almost Hermitian symmetric structures on smooth manifolds, including e.g.… Expand

The goal of this paper is to describe explicitly all invariant first order operators on manifolds equipped with parabolic geometries. Both the results and the methods present an essential… Expand

Some generalizations of the well-known Peetre theorem on the locally finite order of support non-increasing R-linear operators, [9, 11], has become a useful tool for various geometrical… Expand