49 citations · 351 across the 60 of their papers we have counts for
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math.DS2000★ 7 cited
The minimal entropy problem for 3-manifolds with zero simplicial volume
James W. Anderson, Gabriel P. Paternain
We consider the minimal entropy problem, namely the question of whether there exists a smooth metric of minimal entropy, for certain classes of 3-manifolds. Among other resulsts, w…
math.DG2000★ 2 cited
Minimal entropy and collapsing with curvature bounded from below
Gabriel Paternain, Jimmy Petean
We show that if a closed manifold M admits an F-structure (possibly of rank 0) then its minimal entropy vanishes. In particular, this is the case if M admits a non-trivial circle a…
math.DG2000
Einstein manifolds of non-negative sectional curvature and entropy
Gabriel Paternain, Jimmy Petean
We find obstructions to the existence of Einstein metrics of non-negative sectional curvature on a smooth closed simply connected manifold of any dimension. The results are achieve…