2025/01/08 by Brice Flamencourt, Flamencourt, Brice, Abdelghani Zeghib +1 · 2 citations
Mathematics · #Differential Equations and Numerical Methods
paper · pdf · doi:10.48550/arxiv.2501.04814
We give a "conceptual" approach to Kourganoff's results about foliations with a transverse similarity structure. In particular, we give a proof, understandable by the targeted community, of the very important result classifying the holonomy of the closed, non-exact Weyl structures on compact manifolds, from which arose the notion of locally conformally product structures. We also extract from the proof several results on foliations admitting locally metric transverse connections.