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In this second part of a series of papers on the long-time behavior of Ricci flows with surgery, we establish a bound on the evolution of the infimal area of simplicial complexes inside a –manifold under the Ricci flow. This estimate generalizes an area estimate of Hamilton, which we will recall in the first part of the paper.
We remark that in this paper we will mostly be dealing with nonsingular Ricci flows. The existence of surgeries will not play an important role.
Bamler, Richard 1
@article{GT_2018_22_2_a4,
author = {Bamler, Richard},
title = {Long-time behavior of 3{\textendash}dimensional {Ricci} flow, {B} : {Evolution} of the minimal area of simplicial complexes under {Ricci} flow},
journal = {Geometry & topology},
pages = {845--892},
publisher = {mathdoc},
volume = {22},
number = {2},
year = {2018},
doi = {10.2140/gt.2018.22.845},
url = {http://geodesic.mathdoc.fr/articles/10.2140/gt.2018.22.845/}
}
TY - JOUR AU - Bamler, Richard TI - Long-time behavior of 3–dimensional Ricci flow, B : Evolution of the minimal area of simplicial complexes under Ricci flow JO - Geometry & topology PY - 2018 SP - 845 EP - 892 VL - 22 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/gt.2018.22.845/ DO - 10.2140/gt.2018.22.845 ID - GT_2018_22_2_a4 ER -
%0 Journal Article %A Bamler, Richard %T Long-time behavior of 3–dimensional Ricci flow, B : Evolution of the minimal area of simplicial complexes under Ricci flow %J Geometry & topology %D 2018 %P 845-892 %V 22 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2140/gt.2018.22.845/ %R 10.2140/gt.2018.22.845 %F GT_2018_22_2_a4
Bamler, Richard. Long-time behavior of 3–dimensional Ricci flow, B : Evolution of the minimal area of simplicial complexes under Ricci flow. Geometry & topology, Tome 22 (2018) no. 2, pp. 845-892. doi : 10.2140/gt.2018.22.845. http://geodesic.mathdoc.fr/articles/10.2140/gt.2018.22.845/
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