Constant Angle Surfaces in the Lorentzian Warped Product Manifold -I×fE2
In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold - I × f E 2 with the metric g ~ = - d t 2 + f 2 ( t ) ( d x 2 + d y 2 ) , where I is an open interval, f is a strictly positive function on I , and E 2 is the Euclidean pla...
Gespeichert in:
| Veröffentlicht in: | Mediterranean journal of mathematics 2021, Vol.18 (3) |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 3 |
| container_start_page | |
| container_title | Mediterranean journal of mathematics |
| container_volume | 18 |
| creator | Dursun, Uğur Turgay, Nurettin Cenk |
| description | In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold
-
I
×
f
E
2
with the metric
g
~
=
-
d
t
2
+
f
2
(
t
)
(
d
x
2
+
d
y
2
)
, where
I
is an open interval,
f
is a strictly positive function on
I
, and
E
2
is the Euclidean plane. We obtain a classification of all constant angle space-like and time-like surfaces in
-
I
×
f
E
2
. In this classification, we determine space-like and time-like surfaces with zero mean curvature, rotational surfaces, and surfaces with constant Gaussian curvature. Also, we obtain some results on constant angle space-like and time-like surfaces of the de Sitter space
S
1
3
(
1
)
. |
| doi_str_mv | 10.1007/s00009-021-01763-z |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_sprin</sourceid><recordid>TN_cdi_proquest_journals_2515144833</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2515144833</sourcerecordid><originalsourceid>FETCH-LOGICAL-p72z-54cd7b086369d21f2882b764ffb2b819228a3b8abddac4595fedcad8ba0ab42d3</originalsourceid><addsrcrecordid>eNpFkM1KxDAURoMoOP68gKuA62hyk6bpchhGHRhRcMBlSJpk7DCkNWk3fREfyBezOqJ3c-_icL-Pg9AVozeM0vI202kqQoERykrJyXiEZkxKSgpRiOO_W8hTdJbzjlKoGIcZWi3amHsTezyP273HL0MKpvYZNxH3bx6v2-RjPzYm4leTOu_wc2rdUPf40cQmtHuHyerzIyzhAp0Es8_-8nefo83dcrN4IOun-9ViviZdCeNUoXalpUpyWTlgAZQCW0oRggWrWAWgDLfKWOdMLYqqCN7VxilrqLECHD9H14e3XWrfB597vWuHFKdEDQUrmBCK84niByp3qYlbn_4pRvW3Mn1Qpidl-keZHvkX8L9fjw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2515144833</pqid></control><display><type>article</type><title>Constant Angle Surfaces in the Lorentzian Warped Product Manifold -I×fE2</title><source>SpringerLink Journals</source><creator>Dursun, Uğur ; Turgay, Nurettin Cenk</creator><creatorcontrib>Dursun, Uğur ; Turgay, Nurettin Cenk</creatorcontrib><description>In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold
-
I
×
f
E
2
with the metric
g
~
=
-
d
t
2
+
f
2
(
t
)
(
d
x
2
+
d
y
2
)
, where
I
is an open interval,
f
is a strictly positive function on
I
, and
E
2
is the Euclidean plane. We obtain a classification of all constant angle space-like and time-like surfaces in
-
I
×
f
E
2
. In this classification, we determine space-like and time-like surfaces with zero mean curvature, rotational surfaces, and surfaces with constant Gaussian curvature. Also, we obtain some results on constant angle space-like and time-like surfaces of the de Sitter space
S
1
3
(
1
)
.</description><identifier>ISSN: 1660-5446</identifier><identifier>EISSN: 1660-5454</identifier><identifier>DOI: 10.1007/s00009-021-01763-z</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Classification ; Curvature ; Euclidean geometry ; Manifolds (mathematics) ; Mathematics ; Mathematics and Statistics</subject><ispartof>Mediterranean journal of mathematics, 2021, Vol.18 (3)</ispartof><rights>The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021</rights><rights>The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-p72z-54cd7b086369d21f2882b764ffb2b819228a3b8abddac4595fedcad8ba0ab42d3</cites><orcidid>0000-0002-5225-186X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00009-021-01763-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00009-021-01763-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51298</link.rule.ids></links><search><creatorcontrib>Dursun, Uğur</creatorcontrib><creatorcontrib>Turgay, Nurettin Cenk</creatorcontrib><title>Constant Angle Surfaces in the Lorentzian Warped Product Manifold -I×fE2</title><title>Mediterranean journal of mathematics</title><addtitle>Mediterr. J. Math</addtitle><description>In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold
-
I
×
f
E
2
with the metric
g
~
=
-
d
t
2
+
f
2
(
t
)
(
d
x
2
+
d
y
2
)
, where
I
is an open interval,
f
is a strictly positive function on
I
, and
E
2
is the Euclidean plane. We obtain a classification of all constant angle space-like and time-like surfaces in
-
I
×
f
E
2
. In this classification, we determine space-like and time-like surfaces with zero mean curvature, rotational surfaces, and surfaces with constant Gaussian curvature. Also, we obtain some results on constant angle space-like and time-like surfaces of the de Sitter space
S
1
3
(
1
)
.</description><subject>Classification</subject><subject>Curvature</subject><subject>Euclidean geometry</subject><subject>Manifolds (mathematics)</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>1660-5446</issn><issn>1660-5454</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNpFkM1KxDAURoMoOP68gKuA62hyk6bpchhGHRhRcMBlSJpk7DCkNWk3fREfyBezOqJ3c-_icL-Pg9AVozeM0vI202kqQoERykrJyXiEZkxKSgpRiOO_W8hTdJbzjlKoGIcZWi3amHsTezyP273HL0MKpvYZNxH3bx6v2-RjPzYm4leTOu_wc2rdUPf40cQmtHuHyerzIyzhAp0Es8_-8nefo83dcrN4IOun-9ViviZdCeNUoXalpUpyWTlgAZQCW0oRggWrWAWgDLfKWOdMLYqqCN7VxilrqLECHD9H14e3XWrfB597vWuHFKdEDQUrmBCK84niByp3qYlbn_4pRvW3Mn1Qpidl-keZHvkX8L9fjw</recordid><startdate>2021</startdate><enddate>2021</enddate><creator>Dursun, Uğur</creator><creator>Turgay, Nurettin Cenk</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope/><orcidid>https://orcid.org/0000-0002-5225-186X</orcidid></search><sort><creationdate>2021</creationdate><title>Constant Angle Surfaces in the Lorentzian Warped Product Manifold -I×fE2</title><author>Dursun, Uğur ; Turgay, Nurettin Cenk</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p72z-54cd7b086369d21f2882b764ffb2b819228a3b8abddac4595fedcad8ba0ab42d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Classification</topic><topic>Curvature</topic><topic>Euclidean geometry</topic><topic>Manifolds (mathematics)</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dursun, Uğur</creatorcontrib><creatorcontrib>Turgay, Nurettin Cenk</creatorcontrib><jtitle>Mediterranean journal of mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dursun, Uğur</au><au>Turgay, Nurettin Cenk</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Constant Angle Surfaces in the Lorentzian Warped Product Manifold -I×fE2</atitle><jtitle>Mediterranean journal of mathematics</jtitle><stitle>Mediterr. J. Math</stitle><date>2021</date><risdate>2021</risdate><volume>18</volume><issue>3</issue><issn>1660-5446</issn><eissn>1660-5454</eissn><abstract>In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold
-
I
×
f
E
2
with the metric
g
~
=
-
d
t
2
+
f
2
(
t
)
(
d
x
2
+
d
y
2
)
, where
I
is an open interval,
f
is a strictly positive function on
I
, and
E
2
is the Euclidean plane. We obtain a classification of all constant angle space-like and time-like surfaces in
-
I
×
f
E
2
. In this classification, we determine space-like and time-like surfaces with zero mean curvature, rotational surfaces, and surfaces with constant Gaussian curvature. Also, we obtain some results on constant angle space-like and time-like surfaces of the de Sitter space
S
1
3
(
1
)
.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00009-021-01763-z</doi><orcidid>https://orcid.org/0000-0002-5225-186X</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1660-5446 |
| ispartof | Mediterranean journal of mathematics, 2021, Vol.18 (3) |
| issn | 1660-5446 1660-5454 |
| language | eng |
| recordid | cdi_proquest_journals_2515144833 |
| source | SpringerLink Journals |
| subjects | Classification Curvature Euclidean geometry Manifolds (mathematics) Mathematics Mathematics and Statistics |
| title | Constant Angle Surfaces in the Lorentzian Warped Product Manifold -I×fE2 |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-22T02%3A39%3A50IST&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=Constant%20Angle%20Surfaces%20in%20the%20Lorentzian%20Warped%20Product%20Manifold%20-I%C3%97fE2&rft.jtitle=Mediterranean%20journal%20of%20mathematics&rft.au=Dursun,%20U%C4%9Fur&rft.date=2021&rft.volume=18&rft.issue=3&rft.issn=1660-5446&rft.eissn=1660-5454&rft_id=info:doi/10.1007/s00009-021-01763-z&rft_dat=%3Cproquest_sprin%3E2515144833%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=2515144833&rft_id=info:pmid/&rfr_iscdi=true |