3 papers
math.DG2026
Sub-Riemannian Selberg Trace Formulae for Compact Quotients of SL(2,R) and Determinants of Sub-Laplacians
Fabrice Baudoin
We prove sub-Riemannian Selberg trace formulae for compact quotients of SL(2, R). Using the Fourier decomposition along the SO(2)-fibers, we reduce the heat trace computation to th…
math.DG2025
Sub-Laplacian comparison theorems on Riemannian foliations with minimal leaves and applications
Fabrice Baudoin
We prove comparison theorems for the horizontal Laplacian of the Riemannian distance in the context of Riemannian foliations with minimal leaves. This general framework generalizes…
math.DG2025
Topology and bottom spectrum of transversally negatively curved foliations
Fabrice Baudoin
We show that for any Riemannian foliation with a simply connected and negatively curved leaf space the normal exponential map of a leaf is a diffeomorphism. As an application, if t…