Year: 2026
Type: preprint
Abstract: In this paper, we prove the non-spin hyperbolic scalar--mean rigidity theorem in dimensions $2\leq n\leq5$, resolving the corresponding low-dimensional case of a problem of Gromov. The proof combines the Jang deformation with capillary $μ$-bubble dimension reduction. We also establish weighted scalar--mean rigidity for Euclidean ball--torus products in total dimension at most seven and show that its hyperbolic analogue fails.
Source: arXiv (Cornell University)
Author: Lu, Chenghang
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W7223226880