3 papers
gr-qc2017
A new approach to Kaluza-Klein Theory
Stephane Collion, Michel Vaugon
We propose in this paper a new approach to the Kaluza-Klein idea of a five dimensional space-time unifying gravitation and electromagnetism, and extension to higher-dimensional spa…
math.DG2017
Multi-Fibers Bundles as a new model for high-dimensional Spacetimes
Stephane Collion, Michel Vaugon
Around 1920, Kaluza and Klein had the idea to add a fifth dimension to the classical 4-dimensional spacetime of general relativity to create a geometric theory of gravitation and e…
math.DG2010
Critical functions and elliptic PDE on compact riemannian manifolds
Stephane Collion
We study in this work the existence of minimizing solutions to the critical-power type equation on a compact riemannian manifo…