# Scalar and mean curvature comparison via $\\mu$-bubbles

Source: [Scalar and mean curvature comparison via $\\mu$-bubbles](<https://www.sota2.com/research/paper/68fa59441e209131ce9b59b2>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:56:01.046Z

Authors: Daniel R\\"ade

Published: 2021-04-20T17:05:16.000Z

## Abstract

Following ideas of Gromov we prove scalar and mean curvature comparison results for Riemannian bands with lower scalar curvature bounds in dimension $n\\leq7$. The model spaces we use are warped products over scalar-flat manifolds with $\\log$-concave warping functions.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2104.10120>)

[PDF](<https://arxiv.org/pdf/2104.10120.pdf>)