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math.DG2026
A non-convergence phenomenon for the CR Yamabe flow
Claudio Afeltra, Andrea Pinamonti, Pak Tung Ho
We construct a contact form on a three dimensional CR manifold such that the CR Yamabe flow fails to converge. More precisely, on small Rossi deformations of the standard CR three-…
math.AP2026
Compactness in Dimension Five and Equivariant Noncompactness for the CR Yamabe Problem
Claudio Afeltra, Andrea Pinamonti, Pak Tung Ho
We study compactness and noncompactness phenomena for the CR Yamabe equation on compact strictly pseudoconvex CR manifolds. First, in dimension five we establish uniform \emph{a pr…