On entropies, $\mathcal{F}$-structures, and scalar curvature of certain involutions

Rafael Torres

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arXiv · 1310.7415

On entropies, $\mathcal{F}$-structures, and scalar curvature of certain involutions

Rafael Torres

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Abstract

In this short note, we analyze geometric properties of orbit spaces of certain involutions in dimensions four, five, and six. We consider constructions of $\mathcal{F}$-structures on manifolds of dimension at least four that allows us to study minimal entropy, minimal volume, collapse with bounded curvature, and sign of the Yamabe invariant building on work of Paternain-Petean. The existence of Riemannian metrics of vanishing topological entropy on the orbit spaces is investigated as well.

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Rafael Torres. 2014-08-07. On entropies, $\mathcal{F}$-structures, and scalar curvature of certain involutions. https://arxiv.org/abs/1310.7415

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