Abstract
From now on, we consider the mean curvature flow of hypersurfaces which have dimension n ≥ 3 and are uniformly two-convex, that is, satisfy λ1 + λ2 ≥ αH everywhere for some α > 0. As we have seen in Proposition 5.8, such a property is preserved by the flow. This is the class of surfaces for which a flow with surgeries has been constructed in [48]. In this section we present two estimates which are fundamental in the surgery procedure. The first one is the following.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2010 Birkhäuser Verlag
About this chapter
Cite this chapter
Ritoré, M., Sinestrari, C. (2010). Cylindrical and gradient estimates. In: Mean Curvature Flow and Isoperimetric Inequalities. Advanced Courses in Mathematics — CRM Barcelona. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0213-6_10
Download citation
DOI: https://doi.org/10.1007/978-3-0346-0213-6_10
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0212-9
Online ISBN: 978-3-0346-0213-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)