3 papers
math.DG2023
Conformal stereographic projections of sphere quotients are Majumdar-Papapetrou manifolds
Gautier Dietrich
In this short note, we compute the conformal stereographic projection on the standard metric of a sphere quotient. The result is a Majumdar-Papapetrou metric, which might be useful…
math.DG2018
Contact structures, CR Yamabe invariant, and connected sum
Gautier Dietrich
We propose a global invariant for contact manifolds which admit a strictly pseudoconvex CR structure, analogous to the Yamabe invariant . We prove that this invariant is n…
math.DG2018
CR-harmonic maps
Gautier Dietrich
We develop the notion of renormalized energy in CR geometry, for maps from a strictly pseudoconvex pseudohermitian manifold to a Riemannian manifold. This energy is a CR invariant…