A volume preserving flow and the isoperimetric problem in warped product spaces

A volume preserving flow and the isoperimetric problem in warped product spaces

In this article, we continue the work in [Int. Math. Res. Not.IMRN 13 (2015), pp. 4716-4740] and study a normalized hypersurface flow in the more general ambient setting of warped product spaces. This flow preserves the volume of the bounded domain enclosed by a graphical hypersurface and monotonica...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Transactions of the American Mathematical Society 2019-08, Vol.372 (4), p.2777-2798
Hauptverfasser: Guan, Pengfei, Li, Junfang, Wang, Mu-Tao
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 2798
container_issue 4
container_start_page 2777
container_title Transactions of the American Mathematical Society
container_volume 372
creator Guan, Pengfei
Li, Junfang
Wang, Mu-Tao
description In this article, we continue the work in [Int. Math. Res. Not.IMRN 13 (2015), pp. 4716-4740] and study a normalized hypersurface flow in the more general ambient setting of warped product spaces. This flow preserves the volume of the bounded domain enclosed by a graphical hypersurface and monotonically decreases the hypersurface area. As an application, the isoperimetric problem in warped product spaces is solved for such domains.
doi_str_mv 10.1090/tran/7661
format Article
fullrecord <record><control><sourceid>ams_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1090_tran_7661</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1090_tran_7661</sourcerecordid><originalsourceid>FETCH-LOGICAL-a293t-80f5b41c2481d8266e8a9a9b286807a6ea1f244b03746dd2e90dff66e9c28ce3</originalsourceid><addsrcrecordid>eNp9kE1LAzEURYMoWKsL_0EWblyMfUnTTLIsRatQ6Kb74U3yoiPzRTJt8d87Q127etzH4XI5jD0KeBFgYTFEbBe51uKKzQQYk2mzgms2AwCZWavyW3aX0vcYQRk9Y_s1P3X1sSHeR0oUT1X7yUPdnTm2ng9fxKvU9RSrhoZYuZHqypoaXrX8jLEnP3380Q089ego3bObgHWih787Z4e318PmPdvttx-b9S5DaZdDZiCsSiWcVEZ4I7UmgxZtKY02kKMmFEEqVcIyV9p7SRZ8CCNmnTSOlnP2fKl1sUspUij6cSLGn0JAMYkoJhHFJGJkny4sNukf7BfE2V45</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A volume preserving flow and the isoperimetric problem in warped product spaces</title><source>American Mathematical Society Publications</source><creator>Guan, Pengfei ; Li, Junfang ; Wang, Mu-Tao</creator><creatorcontrib>Guan, Pengfei ; Li, Junfang ; Wang, Mu-Tao</creatorcontrib><description>In this article, we continue the work in [Int. Math. Res. Not.IMRN 13 (2015), pp. 4716-4740] and study a normalized hypersurface flow in the more general ambient setting of warped product spaces. This flow preserves the volume of the bounded domain enclosed by a graphical hypersurface and monotonically decreases the hypersurface area. As an application, the isoperimetric problem in warped product spaces is solved for such domains.</description><identifier>ISSN: 0002-9947</identifier><identifier>EISSN: 1088-6850</identifier><identifier>DOI: 10.1090/tran/7661</identifier><language>eng</language><ispartof>Transactions of the American Mathematical Society, 2019-08, Vol.372 (4), p.2777-2798</ispartof><rights>Copyright 2019, American Mathematical Society</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a293t-80f5b41c2481d8266e8a9a9b286807a6ea1f244b03746dd2e90dff66e9c28ce3</citedby><cites>FETCH-LOGICAL-a293t-80f5b41c2481d8266e8a9a9b286807a6ea1f244b03746dd2e90dff66e9c28ce3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttp://www.ams.org/tran/2019-372-04/S0002-9947-2019-07661-4/S0002-9947-2019-07661-4.pdf$$EPDF$$P50$$Gams$$H</linktopdf><linktohtml>$$Uhttp://www.ams.org/tran/2019-372-04/S0002-9947-2019-07661-4/$$EHTML$$P50$$Gams$$H</linktohtml><link.rule.ids>68,315,781,785,23333,27929,27930,77841,77851</link.rule.ids></links><search><creatorcontrib>Guan, Pengfei</creatorcontrib><creatorcontrib>Li, Junfang</creatorcontrib><creatorcontrib>Wang, Mu-Tao</creatorcontrib><title>A volume preserving flow and the isoperimetric problem in warped product spaces</title><title>Transactions of the American Mathematical Society</title><description>In this article, we continue the work in [Int. Math. Res. Not.IMRN 13 (2015), pp. 4716-4740] and study a normalized hypersurface flow in the more general ambient setting of warped product spaces. This flow preserves the volume of the bounded domain enclosed by a graphical hypersurface and monotonically decreases the hypersurface area. As an application, the isoperimetric problem in warped product spaces is solved for such domains.</description><issn>0002-9947</issn><issn>1088-6850</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEURYMoWKsL_0EWblyMfUnTTLIsRatQ6Kb74U3yoiPzRTJt8d87Q127etzH4XI5jD0KeBFgYTFEbBe51uKKzQQYk2mzgms2AwCZWavyW3aX0vcYQRk9Y_s1P3X1sSHeR0oUT1X7yUPdnTm2ng9fxKvU9RSrhoZYuZHqypoaXrX8jLEnP3380Q089ego3bObgHWih787Z4e318PmPdvttx-b9S5DaZdDZiCsSiWcVEZ4I7UmgxZtKY02kKMmFEEqVcIyV9p7SRZ8CCNmnTSOlnP2fKl1sUspUij6cSLGn0JAMYkoJhHFJGJkny4sNukf7BfE2V45</recordid><startdate>20190815</startdate><enddate>20190815</enddate><creator>Guan, Pengfei</creator><creator>Li, Junfang</creator><creator>Wang, Mu-Tao</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20190815</creationdate><title>A volume preserving flow and the isoperimetric problem in warped product spaces</title><author>Guan, Pengfei ; Li, Junfang ; Wang, Mu-Tao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a293t-80f5b41c2481d8266e8a9a9b286807a6ea1f244b03746dd2e90dff66e9c28ce3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Guan, Pengfei</creatorcontrib><creatorcontrib>Li, Junfang</creatorcontrib><creatorcontrib>Wang, Mu-Tao</creatorcontrib><collection>CrossRef</collection><jtitle>Transactions of the American Mathematical Society</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Guan, Pengfei</au><au>Li, Junfang</au><au>Wang, Mu-Tao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A volume preserving flow and the isoperimetric problem in warped product spaces</atitle><jtitle>Transactions of the American Mathematical Society</jtitle><date>2019-08-15</date><risdate>2019</risdate><volume>372</volume><issue>4</issue><spage>2777</spage><epage>2798</epage><pages>2777-2798</pages><issn>0002-9947</issn><eissn>1088-6850</eissn><abstract>In this article, we continue the work in [Int. Math. Res. Not.IMRN 13 (2015), pp. 4716-4740] and study a normalized hypersurface flow in the more general ambient setting of warped product spaces. This flow preserves the volume of the bounded domain enclosed by a graphical hypersurface and monotonically decreases the hypersurface area. As an application, the isoperimetric problem in warped product spaces is solved for such domains.</abstract><doi>10.1090/tran/7661</doi><tpages>22</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0002-9947
ispartof Transactions of the American Mathematical Society, 2019-08, Vol.372 (4), p.2777-2798
issn 0002-9947
1088-6850
language eng
recordid cdi_crossref_primary_10_1090_tran_7661
source American Mathematical Society Publications
title A volume preserving flow and the isoperimetric problem in warped product spaces
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-13T02%3A03%3A55IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ams_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20volume%20preserving%20flow%20and%20the%20isoperimetric%20problem%20in%20warped%20product%20spaces&rft.jtitle=Transactions%20of%20the%20American%20Mathematical%20Society&rft.au=Guan,%20Pengfei&rft.date=2019-08-15&rft.volume=372&rft.issue=4&rft.spage=2777&rft.epage=2798&rft.pages=2777-2798&rft.issn=0002-9947&rft.eissn=1088-6850&rft_id=info:doi/10.1090/tran/7661&rft_dat=%3Cams_cross%3E10_1090_tran_7661%3C/ams_cross%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