ϕ-Parabolicity and the Uniqueness of Spacelike Hypersurfaces Immersed in a Spatially Weighted GRW Spacetime

ϕ-Parabolicity and the Uniqueness of Spacelike Hypersurfaces Immersed in a Spatially Weighted GRW Spacetime

In this paper, we extend a technique due to Romero et al. (Class Quantum Gravity 30:1–13, 2013 ; Int J Geom Methods Mod Phys 10:1360014, 2013 ; J Math Anal Appl 419:355–372, 2014 ) establishing sufficient conditions to guarantee the parabolicity of complete spacelike hypersurfaces immersed in a weig...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mediterranean journal of mathematics 2018-06, Vol.15 (3), p.1-17
Hauptverfasser: Albujer, Alma L., de Lima, Henrique F., Oliveira, Arlandson M., Velásquez, Marco Antonio L.
Format: Artikel
Sprache:eng
Schlagworte:
Geometry
Mathematics
Mathematics and Statistics
Quantum gravity
Relativity
Spacetime
Uniqueness
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 17
container_issue 3
container_start_page 1
container_title Mediterranean journal of mathematics
container_volume 15
creator Albujer, Alma L.
de Lima, Henrique F.
Oliveira, Arlandson M.
Velásquez, Marco Antonio L.
description In this paper, we extend a technique due to Romero et al. (Class Quantum Gravity 30:1–13, 2013 ; Int J Geom Methods Mod Phys 10:1360014, 2013 ; J Math Anal Appl 419:355–372, 2014 ) establishing sufficient conditions to guarantee the parabolicity of complete spacelike hypersurfaces immersed in a weighted generalized Robertson–Walker spacetime whose fiber has ϕ -parabolic universal Riemannian covering. As some applications of this criteria, we obtain uniqueness results concerning spacelike hypersurfaces immersed in spatially weighted generalized Robertson–Walker spacetimes. Furthermore, Calabi–Bernstein type results are also given.
doi_str_mv 10.1007/s00009-018-1134-8
format Article
fullrecord <record><control><sourceid>proquest_sprin</sourceid><recordid>TN_cdi_proquest_journals_2026490127</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2026490127</sourcerecordid><originalsourceid>FETCH-LOGICAL-p226t-e956fd8e66d2a629171657b3e8f363e5de63cd1eaf48c7421dbee785f83023923</originalsourceid><addsrcrecordid>eNpFkEtOwzAQhi0EEqVwAHaWWBv8SBxniSqglSqBgKpLy43HrUuaBDtd9CCciyvhKghmMw998_oRumb0llFa3EWarCSUKcKYyIg6QSMmJSV5lmenf3Emz9FFjFtKeckEH6H6-4u8mGBWbe0r3x-waSzuN4AXjf_cQwMx4tbht85UUPsPwNNDByHug0uFiGe7XcrAYt9gc6R6b-r6gJfg15s-1Z9el0Nz73dwic6cqSNc_foxWjw-vE-mZP78NJvcz0nHuewJlLl0VoGUlhuZDi2YzIuVAOWEFJBbkKKyDIzLVFVknNkVQKFypwTlouRijG6GuV1o0xOx19t2H5q0UnPKZVZSxotE8YGKXfDNGsI_xag-qqoHVXVSVR9V1Ur8AOTWa28</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2026490127</pqid></control><display><type>article</type><title>ϕ-Parabolicity and the Uniqueness of Spacelike Hypersurfaces Immersed in a Spatially Weighted GRW Spacetime</title><source>SpringerLink Journals</source><creator>Albujer, Alma L. ; de Lima, Henrique F. ; Oliveira, Arlandson M. ; Velásquez, Marco Antonio L.</creator><creatorcontrib>Albujer, Alma L. ; de Lima, Henrique F. ; Oliveira, Arlandson M. ; Velásquez, Marco Antonio L.</creatorcontrib><description>In this paper, we extend a technique due to Romero et al. (Class Quantum Gravity 30:1–13, 2013 ; Int J Geom Methods Mod Phys 10:1360014, 2013 ; J Math Anal Appl 419:355–372, 2014 ) establishing sufficient conditions to guarantee the parabolicity of complete spacelike hypersurfaces immersed in a weighted generalized Robertson–Walker spacetime whose fiber has ϕ -parabolic universal Riemannian covering. As some applications of this criteria, we obtain uniqueness results concerning spacelike hypersurfaces immersed in spatially weighted generalized Robertson–Walker spacetimes. Furthermore, Calabi–Bernstein type results are also given.</description><identifier>ISSN: 1660-5446</identifier><identifier>EISSN: 1660-5454</identifier><identifier>DOI: 10.1007/s00009-018-1134-8</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Geometry ; Mathematics ; Mathematics and Statistics ; Quantum gravity ; Relativity ; Spacetime ; Uniqueness</subject><ispartof>Mediterranean journal of mathematics, 2018-06, Vol.15 (3), p.1-17</ispartof><rights>Springer International Publishing AG, part of Springer Nature 2018</rights><rights>Copyright Springer Science &amp; Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-p226t-e956fd8e66d2a629171657b3e8f363e5de63cd1eaf48c7421dbee785f83023923</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00009-018-1134-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00009-018-1134-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Albujer, Alma L.</creatorcontrib><creatorcontrib>de Lima, Henrique F.</creatorcontrib><creatorcontrib>Oliveira, Arlandson M.</creatorcontrib><creatorcontrib>Velásquez, Marco Antonio L.</creatorcontrib><title>ϕ-Parabolicity and the Uniqueness of Spacelike Hypersurfaces Immersed in a Spatially Weighted GRW Spacetime</title><title>Mediterranean journal of mathematics</title><addtitle>Mediterr. J. Math</addtitle><description>In this paper, we extend a technique due to Romero et al. (Class Quantum Gravity 30:1–13, 2013 ; Int J Geom Methods Mod Phys 10:1360014, 2013 ; J Math Anal Appl 419:355–372, 2014 ) establishing sufficient conditions to guarantee the parabolicity of complete spacelike hypersurfaces immersed in a weighted generalized Robertson–Walker spacetime whose fiber has ϕ -parabolic universal Riemannian covering. As some applications of this criteria, we obtain uniqueness results concerning spacelike hypersurfaces immersed in spatially weighted generalized Robertson–Walker spacetimes. Furthermore, Calabi–Bernstein type results are also given.</description><subject>Geometry</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Quantum gravity</subject><subject>Relativity</subject><subject>Spacetime</subject><subject>Uniqueness</subject><issn>1660-5446</issn><issn>1660-5454</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNpFkEtOwzAQhi0EEqVwAHaWWBv8SBxniSqglSqBgKpLy43HrUuaBDtd9CCciyvhKghmMw998_oRumb0llFa3EWarCSUKcKYyIg6QSMmJSV5lmenf3Emz9FFjFtKeckEH6H6-4u8mGBWbe0r3x-waSzuN4AXjf_cQwMx4tbht85UUPsPwNNDByHug0uFiGe7XcrAYt9gc6R6b-r6gJfg15s-1Z9el0Nz73dwic6cqSNc_foxWjw-vE-mZP78NJvcz0nHuewJlLl0VoGUlhuZDi2YzIuVAOWEFJBbkKKyDIzLVFVknNkVQKFypwTlouRijG6GuV1o0xOx19t2H5q0UnPKZVZSxotE8YGKXfDNGsI_xag-qqoHVXVSVR9V1Ur8AOTWa28</recordid><startdate>20180601</startdate><enddate>20180601</enddate><creator>Albujer, Alma L.</creator><creator>de Lima, Henrique F.</creator><creator>Oliveira, Arlandson M.</creator><creator>Velásquez, Marco Antonio L.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope/></search><sort><creationdate>20180601</creationdate><title>ϕ-Parabolicity and the Uniqueness of Spacelike Hypersurfaces Immersed in a Spatially Weighted GRW Spacetime</title><author>Albujer, Alma L. ; de Lima, Henrique F. ; Oliveira, Arlandson M. ; Velásquez, Marco Antonio L.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p226t-e956fd8e66d2a629171657b3e8f363e5de63cd1eaf48c7421dbee785f83023923</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Geometry</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Quantum gravity</topic><topic>Relativity</topic><topic>Spacetime</topic><topic>Uniqueness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Albujer, Alma L.</creatorcontrib><creatorcontrib>de Lima, Henrique F.</creatorcontrib><creatorcontrib>Oliveira, Arlandson M.</creatorcontrib><creatorcontrib>Velásquez, Marco Antonio L.</creatorcontrib><jtitle>Mediterranean journal of mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Albujer, Alma L.</au><au>de Lima, Henrique F.</au><au>Oliveira, Arlandson M.</au><au>Velásquez, Marco Antonio L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>ϕ-Parabolicity and the Uniqueness of Spacelike Hypersurfaces Immersed in a Spatially Weighted GRW Spacetime</atitle><jtitle>Mediterranean journal of mathematics</jtitle><stitle>Mediterr. J. Math</stitle><date>2018-06-01</date><risdate>2018</risdate><volume>15</volume><issue>3</issue><spage>1</spage><epage>17</epage><pages>1-17</pages><issn>1660-5446</issn><eissn>1660-5454</eissn><abstract>In this paper, we extend a technique due to Romero et al. (Class Quantum Gravity 30:1–13, 2013 ; Int J Geom Methods Mod Phys 10:1360014, 2013 ; J Math Anal Appl 419:355–372, 2014 ) establishing sufficient conditions to guarantee the parabolicity of complete spacelike hypersurfaces immersed in a weighted generalized Robertson–Walker spacetime whose fiber has ϕ -parabolic universal Riemannian covering. As some applications of this criteria, we obtain uniqueness results concerning spacelike hypersurfaces immersed in spatially weighted generalized Robertson–Walker spacetimes. Furthermore, Calabi–Bernstein type results are also given.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00009-018-1134-8</doi><tpages>17</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1660-5446
ispartof Mediterranean journal of mathematics, 2018-06, Vol.15 (3), p.1-17
issn 1660-5446
1660-5454
language eng
recordid cdi_proquest_journals_2026490127
source SpringerLink Journals
subjects Geometry
Mathematics
Mathematics and Statistics
Quantum gravity
Relativity
Spacetime
Uniqueness
title ϕ-Parabolicity and the Uniqueness of Spacelike Hypersurfaces Immersed in a Spatially Weighted GRW Spacetime
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-26T09%3A56%3A21IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_sprin&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=%CF%95-Parabolicity%20and%20the%20Uniqueness%20of%20Spacelike%20Hypersurfaces%20Immersed%20in%20a%20Spatially%20Weighted%20GRW%20Spacetime&rft.jtitle=Mediterranean%20journal%20of%20mathematics&rft.au=Albujer,%20Alma%20L.&rft.date=2018-06-01&rft.volume=15&rft.issue=3&rft.spage=1&rft.epage=17&rft.pages=1-17&rft.issn=1660-5446&rft.eissn=1660-5454&rft_id=info:doi/10.1007/s00009-018-1134-8&rft_dat=%3Cproquest_sprin%3E2026490127%3C/proquest_sprin%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2026490127&rft_id=info:pmid/&rfr_iscdi=true