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math.DS2024
Bunching for relatively pinched metrics
Yannick Guedes Bonthonneau
We consider compact Riemannian manifolds whose curvature tensor is pointwise negatively pinched, and improve on the corresponding unstable bunching estimate from Hasselblatt's 1994…
math.CV2024
Microlocal Projectors
Yannick Guedes Bonthonneau
The purpose of this article is to study operators whose kernel share some key features of Bergman kernels from complex analysis, and are approximate projectors. It turns out that t…