On the stability of free boundary minimal submanifolds in conformal domains
Given a $n$-dimensional Riemannian manifold with non-negative sectional curvatures and convex boundary, that is conformal to an Euclidean convex bounded domain, we show that it does not contain any compact stable free boundary minimal submanifold of dimension $2\leq k\leq n-2$, provided that either...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | de Carvalho, Alcides Santos, Roney Trinca, Federico |
| description | Given a $n$-dimensional Riemannian manifold with non-negative sectional
curvatures and convex boundary, that is conformal to an Euclidean convex
bounded domain, we show that it does not contain any compact stable free
boundary minimal submanifold of dimension $2\leq k\leq n-2$, provided that
either the boundary is strictly convex with respect to any of the two metrics
or the sectional curvatures are strictly positive. |
| doi_str_mv | 10.48550/arxiv.2409.03943 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2409_03943</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2409_03943</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2409_039433</originalsourceid><addsrcrecordid>eNqFzbEKwjAUBdAsDqJ-gJPvB4zRtGBnUQQHF_fyahN8kLxIkor9e21xd7rDvdwjxHKrZLEvS7XB-KaX3BWqkkpXhZ6Ky5UhPwykjA05yj0ECzYaA03ouMXYgycmjw5S13hkssG1CYjhHtiGODRt8Eic5mJi0SWz-OVMrE7H2-G8Htn6Gb83sa8Hvh55_X_xAdyLO0Q</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On the stability of free boundary minimal submanifolds in conformal domains</title><source>arXiv.org</source><creator>de Carvalho, Alcides ; Santos, Roney ; Trinca, Federico</creator><creatorcontrib>de Carvalho, Alcides ; Santos, Roney ; Trinca, Federico</creatorcontrib><description>Given a $n$-dimensional Riemannian manifold with non-negative sectional
curvatures and convex boundary, that is conformal to an Euclidean convex
bounded domain, we show that it does not contain any compact stable free
boundary minimal submanifold of dimension $2\leq k\leq n-2$, provided that
either the boundary is strictly convex with respect to any of the two metrics
or the sectional curvatures are strictly positive.</description><identifier>DOI: 10.48550/arxiv.2409.03943</identifier><language>eng</language><subject>Mathematics - Differential Geometry</subject><creationdate>2024-09</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2409.03943$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2409.03943$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>de Carvalho, Alcides</creatorcontrib><creatorcontrib>Santos, Roney</creatorcontrib><creatorcontrib>Trinca, Federico</creatorcontrib><title>On the stability of free boundary minimal submanifolds in conformal domains</title><description>Given a $n$-dimensional Riemannian manifold with non-negative sectional
curvatures and convex boundary, that is conformal to an Euclidean convex
bounded domain, we show that it does not contain any compact stable free
boundary minimal submanifold of dimension $2\leq k\leq n-2$, provided that
either the boundary is strictly convex with respect to any of the two metrics
or the sectional curvatures are strictly positive.</description><subject>Mathematics - Differential Geometry</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFzbEKwjAUBdAsDqJ-gJPvB4zRtGBnUQQHF_fyahN8kLxIkor9e21xd7rDvdwjxHKrZLEvS7XB-KaX3BWqkkpXhZ6Ky5UhPwykjA05yj0ECzYaA03ouMXYgycmjw5S13hkssG1CYjhHtiGODRt8Eic5mJi0SWz-OVMrE7H2-G8Htn6Gb83sa8Hvh55_X_xAdyLO0Q</recordid><startdate>20240905</startdate><enddate>20240905</enddate><creator>de Carvalho, Alcides</creator><creator>Santos, Roney</creator><creator>Trinca, Federico</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20240905</creationdate><title>On the stability of free boundary minimal submanifolds in conformal domains</title><author>de Carvalho, Alcides ; Santos, Roney ; Trinca, Federico</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2409_039433</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Differential Geometry</topic><toplevel>online_resources</toplevel><creatorcontrib>de Carvalho, Alcides</creatorcontrib><creatorcontrib>Santos, Roney</creatorcontrib><creatorcontrib>Trinca, Federico</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>de Carvalho, Alcides</au><au>Santos, Roney</au><au>Trinca, Federico</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the stability of free boundary minimal submanifolds in conformal domains</atitle><date>2024-09-05</date><risdate>2024</risdate><abstract>Given a $n$-dimensional Riemannian manifold with non-negative sectional
curvatures and convex boundary, that is conformal to an Euclidean convex
bounded domain, we show that it does not contain any compact stable free
boundary minimal submanifold of dimension $2\leq k\leq n-2$, provided that
either the boundary is strictly convex with respect to any of the two metrics
or the sectional curvatures are strictly positive.</abstract><doi>10.48550/arxiv.2409.03943</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2409.03943 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2409_03943 |
| source | arXiv.org |
| subjects | Mathematics - Differential Geometry |
| title | On the stability of free boundary minimal submanifolds in conformal domains |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-04T23%3A17%3A46IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20stability%20of%20free%20boundary%20minimal%20submanifolds%20in%20conformal%20domains&rft.au=de%20Carvalho,%20Alcides&rft.date=2024-09-05&rft_id=info:doi/10.48550/arxiv.2409.03943&rft_dat=%3Carxiv_GOX%3E2409_03943%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |