The Lagrange complex

Lagrange Geometry via Complex Lagrange Geometry

Asking that the metric of a complex Finsler space should be strong convex, Abate and Patrizio ([1]) associate to the real tangent bundle a real Finsler metric for which they analyze the relation between Cartan (real) connection of the obtained space and the real image of Chern-Finsler complex connection. Following the same ideas, in the present paper we shall deal with the more general case of ...

The Complex Geometry of Lagrange Top

Abstract We prove that the heavy symmetric top (Lagrange, 1788) linearizes on a two–dimensional non– compact algebraic group – the generalized Jacobian of an elliptic curve with two points identified. This leads to a transparent description of its complex and real invariant level sets. We deduce, by making use of a Baker–Akhiezer function, simple explicit formulae for the general solution of th...

Linear Stability of Lagrange Points: Complex Variable Notation

Subject headings: Celestial mechanics, Lagrange points, linear stability

Lagrange inversion

We give a survey of the Lagrange inversion formula, including different versions and proofs, with applications to combinatorial and formal power series identities.

The Lagrange rigid body motion