Bunching for relatively pinched metrics
Yannick Guedes Bonthonneau
TL;DR
This paper improves the unstable bunching estimate for compact negatively pinched Riemannian manifolds, advancing understanding of their geometric and dynamical properties.
Contribution
It provides a sharper unstable bunching estimate for manifolds with pointwise negatively pinched curvature, refining previous results.
Findings
Enhanced bunching estimate for negatively pinched manifolds
Improved bounds on dynamical stability
Deeper insights into geometric structures
Abstract
We consider compact Riemannian manifolds whose curvature tensor is pointwise negatively pinched, and improve on the corresponding unstable bunching estimate from Hasselblatt's 1994 paper.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Mathematical Dynamics and Fractals