Pinched hypersurfaces are compact
We make rigorous and old idea of using mean curvature flow to prove a theorem of Richard Hamilton on the compactness of proper hypersurfaces with pinched, bounded curvature.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-03-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2022-0046 |
| _version_ | 1797848776431370240 |
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| author | Bourni Theodora Langford Mat Lynch Stephen |
| author_facet | Bourni Theodora Langford Mat Lynch Stephen |
| author_sort | Bourni Theodora |
| collection | DOAJ |
| description | We make rigorous and old idea of using mean curvature flow to prove a theorem of Richard Hamilton on the compactness of proper hypersurfaces with pinched, bounded curvature. |
| first_indexed | 2024-04-09T18:32:49Z |
| format | Article |
| id | doaj.art-399ac521afde4b75af31eb80ea4e539d |
| institution | Directory Open Access Journal |
| issn | 2169-0375 |
| language | English |
| last_indexed | 2024-04-09T18:32:49Z |
| publishDate | 2023-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj.art-399ac521afde4b75af31eb80ea4e539d2023-04-11T17:07:12ZengDe GruyterAdvanced Nonlinear Studies2169-03752023-03-0123135739510.1515/ans-2022-0046Pinched hypersurfaces are compactBourni Theodora0Langford Mat1Lynch Stephen2Department of Mathematics, University of Tennessee Knoxville, Knoxville TN, 37996-1320, Tennessee, United StatesSchool of Mathematical and Physical Sciences, The University of Newcastle, Newcastle, NSW, 2308, AustraliaEberhard Karls Universität Tübingen, Fachbereich Mathematik, Auf der Morgenstelle 10, 72076 Tübingen, GermanyWe make rigorous and old idea of using mean curvature flow to prove a theorem of Richard Hamilton on the compactness of proper hypersurfaces with pinched, bounded curvature.https://doi.org/10.1515/ans-2022-0046mean curvature flowpinched hypersurfaces53e10 |
| spellingShingle | Bourni Theodora Langford Mat Lynch Stephen Pinched hypersurfaces are compact Advanced Nonlinear Studies mean curvature flow pinched hypersurfaces 53e10 |
| title | Pinched hypersurfaces are compact |
| title_full | Pinched hypersurfaces are compact |
| title_fullStr | Pinched hypersurfaces are compact |
| title_full_unstemmed | Pinched hypersurfaces are compact |
| title_short | Pinched hypersurfaces are compact |
| title_sort | pinched hypersurfaces are compact |
| topic | mean curvature flow pinched hypersurfaces 53e10 |
| url | https://doi.org/10.1515/ans-2022-0046 |
| work_keys_str_mv | AT bournitheodora pinchedhypersurfacesarecompact AT langfordmat pinchedhypersurfacesarecompact AT lynchstephen pinchedhypersurfacesarecompact |