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19942018
most citedCelestial Mechanics, Conformal Structures, and Gravitational Waves

346 citations · 3.2k across the 53 of their papers we have counts for

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math.DG1999

Methods of Equivariant Quantization

C. Duval, P. Lecomte, V. Ovsienko

This article is a survey of recent work of the authors developing a new approach to quantization based on the equivariance with respect to some Lie group of symmetries. Examples ar…

math.DG1999

Conformally equivariant quantization: Existence and uniqueness

C. Duval, P. Lecomte, V. Ovsienko

We prove the existence and the uniqueness of a conformally equivariant symbol calculus and quantization on any conformally flat pseudo-Riemannian manifold $(M,\rg)$. In other words…

math.DG1998

Lorentzian worldlines and Schwarzian derivative

C. Duval, V. Ovsienko

We relate in this note the classical Schwarzian derivative to the curvature of time-like curves in Lorentz surfaces of constant curvature.

math.DG1998★ 24 cited

Conformally equivariant quantization

C. Duval, V. Ovsienko

Let be a pseudo-Riemannian manifold and the space of densities of degree on . We study the space of second-order differential operators from…