Published June 2021
| Version Submitted
Journal Article
Open
The space of asymptotically conical self-expanders of mean curvature flow
Creators
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1.
Johns Hopkins University
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2.
California Institute of Technology
Abstract
We show that the space of asymptotically conical self-expanders of the mean curvature flow is a smooth Banach manifold. An immediate consequence is that non-degenerate self-expanders—that is, those self-expanders that admit no non-trivial normal Jacobi fields that fix the asymptotic cone—are generic in a certain sense.
Additional Information
© The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021. Received 23 July 2018; Revised 28 July 2020; Accepted 08 January 2021; Published 19 January 2021. Lu Wang would like to thank David Hoffman, Bing Wang and Brian White for helpful discussions. Jacob Bernstein was partially supported by the NSF Grant DMS-1609340. Lu Wang was partially supported by the NSF Grants DMS-1811144 and DMS-1834824, an Alfred P. Sloan Research Fellowship, the office of the Vice Chancellor for Research and Graduate Education at the University of Wisconsin-Madison with funding from the Wisconsin Alumni Research Foundation and a Vilas Early Investigator Award. Communicated by F.C. Marques.Attached Files
Submitted - 1712.04366.pdf
Files
1712.04366.pdf
Additional details
Identifiers
- Eprint ID
- 108030
- Resolver ID
- CaltechAUTHORS:20210212-085010758
Related works
- Describes
- https://arxiv.org/abs/1712.04366 (URL)
Funding
- NSF
- DMS-1609340
- NSF
- DMS-1811144
- NSF
- DMS-1834824
- Alfred P. Sloan Foundation
- University of Wisconsin-Madison
- Wisconsin Alumni Research Foundation
- Vilas Early Investigator Award
Dates
- Created
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2021-02-12Created from EPrint's datestamp field
- Updated
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2021-05-26Created from EPrint's last_modified field