Year: 2025
Type: article
Abstract: We prove that on a closed negatively curved manifold of dimension greater than two, a horosphere endowed with the induced Riemannian metric cannot have non-negative scalar curvature unless the manifold is real hyperbolic, in which case all horospheres are flat.
DOI: 10.1093/imrn/rnaf267
Institutions: Institut Fourier, Université Grenoble Alpes, University of Georgia
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7082266980