# The Ricci flow under almost non-negative curvature conditions

@article{Bamler2017TheRF,
title={The Ricci flow under almost non-negative curvature conditions},
author={Richard Bamler and Esther Cabezas-Rivas and Burkhard Wilking},
journal={Inventiones mathematicae},
year={2017},
volume={217},
pages={95-126}
}
• Published 2017
• Mathematics
• Inventiones mathematicae
We generalize most of the known Ricci flow invariant non-negative curvature conditions to less restrictive negative bounds that remain sufficiently controlled for a short time. As an illustration of the contents of the paper, we prove that metrics whose curvature operator has eigenvalues greater than $$-\,1$$-1 can be evolved by the Ricci flow for some uniform time such that the eigenvalues of the curvature operator remain greater than $$-\,C$$-C. Here the time of existence and the constant C… Expand
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