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

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

2001-01-05

arxiv.org/abs/math/0101045v1

Mathematics

Differential Geometry

Scientific paper

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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