Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics.
The authors' main goal in this 2005 book is to emphasize connections between classical …

Let M be either a projective manifold (M, Π) or a pseudo-Riemannian manifold (M, g). We
extend, intrinsically, the projective/conformal Schwarzian derivatives we have introduced …

Let M be a manifold endowed with a symmetric affine connection Γ. The aim of this Letter is
to describe a quantization map between the space of second-order polynomials on the …

Let (M, g) be a pseudo-Riemannian manifold and F _ λ (M) the space of densities of degree
λ on M. Denote D _ λ, μ^ k (M) the space of differential operators from F _ λ (M) to F _ μ (M) of …

An infinitesimal derivative of the Bott class is defined by generalizing Heitsch'es
construction. We prove a formula relating the infinitesimal derivative to the Schwarzian …

Let (M, g) be a pseudo-Riemannian manifold. We propose a new approach for defining the
conformal Schwarzian derivatives. These derivatives are 1-cocycles on the group of …

Let M be a smooth manifold endowed with a flat conformal structure and F λ (M) the space of
densities of degree λ on M. We study the space D λ, μ3 (M) of third-order differential …

In this paper we classify all differential invariants of parametrized curves in Bbb R 2 under
the action of O (3, 1). We find a formula for the most general evolution of such curves which …

arXiv:math/0101056v1 [math.DG] 8 Jan 2001 Page 1 arXiv:math/0101056v1 [math.DG] 8 Jan
2001 Multi-dimensional Schwarzian derivative revisited Sofiane BOUARROUDJ∗ Department …

H. Sato introduced a Schwarzian derivative of a contactomorphism of ℝ3 and with T. Ozawa
described its basic properties. In this note their construction is extended to all odd …