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Added by Arxiv Bot | Added: 2026-02-17 05:53 | Views: 23 | Source: arXiv Dataset (Model)

Quantitative surgery and total mean curvature

Authors	Georg Frenck, Bernhard Hanke, Sven Hirsch
Categories	math.DG gr-qc
ArXiv ID	2601.10617vv1
URL	https://arxiv.org/abs/2601.10617
License	http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Abstract

We develop quantitative surgery, which extends the classical constructions of Gromov--Lawson and Lawson--Michelsohn. As an application, we prove a conjecture of Gromov on the total mean curvature of fill-ins.

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