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arXiv · 2504.06456

Characterization of higher rank via affine maps

David Lenze
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Abstract

We show that Hadamard spaces with geometric group actions admit affine maps that are not dilations, if and only if they are Riemannian symmetric spaces of higher rank, Euclidean buildings of higher rank, or split as non-trivial metric products.

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David Lenze. 2025-09-19. Characterization of higher rank via affine maps. https://arxiv.org/abs/2504.06456

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