The volume entropy of a surface decreases along the Ricci flow

DOI10.1017/S0143385703000415zbMath1115.37027MaRDI QIDQ4470170

Anthony Manning

Publication date: 22 June 2004

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Orbit growth in dynamical systems (37C35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (6)

A variation formula for the topological entropy of convex-cocompact manifolds ⋮ On the cross curvature flow ⋮ Conformal entropy rigidity through Yamabe flows ⋮ Boundary of Anosov dynamics and evolution equations for surfaces ⋮ An example of how the Ricci flow can increase topological entropy ⋮ The Regularity of the Linear Drift in Negatively Curved Spaces

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