Mathematical proof of Euclidean space at solar system scale for distances of 10 AU, offering empirical confirmation of flatness
Exploration of dynamics of n point masses in non-zero constant curvature spaces, extending Newtonian gravity
Analysis of cotangent potential, a generalization from 2-body to n-body problems, revealing connections across mathematics
Contributions to classical dynamics, non-Euclidean geometry, geometric topology, Lie groups, and polytopes
Published by Atlantis Press, a respected academic publisher
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Atlantis Studies in Dynamical Systems Diacu, Florin The guiding light of this monograph is a question easy to understand but difficult to answer: {What is the shape of the universe? In other words, how do we measure the shortest distance between two points of the physical space? Should we follow a straight line, as on a flat table, fly al