Lambert, B. orcid.org/0000-0002-5058-3158 and Maeder-Baumdicker, E. (2024) A Note on Alexandrov Immersed Mean Curvature Flow. Journal of Geometric Analysis, 34. 268. ISSN 1050-6926
Abstract
We demonstrate that the property of being Alexandrov immersed is preserved along mean curvature flow. Furthermore, we demonstrate that mean curvature flow techniques for mean convex embedded flows such as noncollapsing and gradient estimates also hold in this setting. We also indicate the necessary modifications to the work of Brendle–Huisken to allow for mean curvature flow with surgery in the Alexandrov immersed, 2-dimensional setting.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2024, corrected publication 2024. This is an open access article under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Mean curvature flow, Noncollapsing estimates, Alexandrov immersions |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 05 Jun 2024 10:49 |
Last Modified: | 23 Sep 2024 14:52 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/s12220-024-01705-7 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:213118 |