Relative Equilibria of the Curved N-Body Problem

Autori

• Florin Diacu

Parametri

• 160 pagine
• 6 ore di lettura

• Matematica

Maggiori informazioni sul libro

Exploring the shape of the universe, this monograph addresses how to measure distances in physical space, proposing that space is Euclidean for distances around 10 AU. It offers a mathematical proof confirming the flatness of space at small cosmic scales. The work extends Newtonian gravitation through the cotangent potential, originally suggested by Ernest Schering, and examines the dynamics of N point masses in non-zero constant curvature spaces. This research connects classical dynamics, non-Euclidean geometry, geometric topology, Lie groups, and polytopes.

Lingua: Inglese

Pubblicato: 2014

(In brossura)