作者：Paternain, GP; Petean, J
作者单位：University of Cambridge; CIMAT - Centro de Investigacion en Matematicas
摘要：We show that if a closed manifold M admits an F-structure (not necessarily polarized, possibly of rank zero) then its minimal entropy vanishes. In particular, this is the case if M admits a non-trivial S-1 -action. As a corollary we obtain that the simplicial volume of a manifold admitting an F-structure is zero. We also show that if M admits an F-structure then it collapses with curvature bounded from below. This in turn implies that M collapses with bounded scalar curvature or, equivalently,...
