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Minimal entropy rigidity for lattices in products of rank one symmetric spaces

Christopher Connell·Benson Farb
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Abstract

We prove minimal entropy rigidity for complete, finite volume manifolds locally isometric to a product of rank one symmetric spaces of dimension at least 3: the locally symmetric metric uniquely minimizes (normalized) entropy among all Riemannian metrics. The corresponding theorem is true for maps into these spaces as well.

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Christopher Connell, Benson Farb. 2001-01-05. Minimal entropy rigidity for lattices in products of rank one symmetric spaces. https://arxiv.org/abs/math/0101045

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