Pedal curves of hyperbolic frontals and their singularities
This paper introduces pedal curves of spacelike frontals in the hyperbolic 2-space. We mainly investigate the singularities of these hyperbolic pedal curves of spacelike frontals for non-singular and singular dual curve germs. We then show that for non-singular dual curve germs, the singularities of...
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| creator | Tuncer, O. Ogulcan Gok, Ismail |
| description | This paper introduces pedal curves of spacelike frontals in the hyperbolic
2-space. We mainly investigate the singularities of these hyperbolic pedal
curves of spacelike frontals for non-singular and singular dual curve germs. We
then show that for non-singular dual curve germs, the singularities of a pedal
curve are dependent on the singularities of the first hyperbolic Legendrian
curvature germ and the location of the pedal point, while for singular dual
curve germs, they depend upon the singularities of both hyperbolic Legendrian
curvature germs and also the location of the pedal point. We provide several
examples with figures. |
| doi_str_mv | 10.48550/arxiv.2012.06818 |
| format | Article |
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2-space. We mainly investigate the singularities of these hyperbolic pedal
curves of spacelike frontals for non-singular and singular dual curve germs. We
then show that for non-singular dual curve germs, the singularities of a pedal
curve are dependent on the singularities of the first hyperbolic Legendrian
curvature germ and the location of the pedal point, while for singular dual
curve germs, they depend upon the singularities of both hyperbolic Legendrian
curvature germs and also the location of the pedal point. We provide several
examples with figures.</description><identifier>DOI: 10.48550/arxiv.2012.06818</identifier><language>eng</language><subject>Mathematics - Differential Geometry</subject><creationdate>2020-12</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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2012.06818$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2012.06818$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Tuncer, O. Ogulcan</creatorcontrib><creatorcontrib>Gok, Ismail</creatorcontrib><title>Pedal curves of hyperbolic frontals and their singularities</title><description>This paper introduces pedal curves of spacelike frontals in the hyperbolic
2-space. We mainly investigate the singularities of these hyperbolic pedal
curves of spacelike frontals for non-singular and singular dual curve germs. We
then show that for non-singular dual curve germs, the singularities of a pedal
curve are dependent on the singularities of the first hyperbolic Legendrian
curvature germ and the location of the pedal point, while for singular dual
curve germs, they depend upon the singularities of both hyperbolic Legendrian
curvature germs and also the location of the pedal point. We provide several
examples with figures.</description><subject>Mathematics - Differential Geometry</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj81qwzAQhHXJoSR9gJ6qF7CrlSxpQ04h9A8C7SF3s5W1icCxg-yE5u3rpj0NwwfDfEI8gCortFY9Uf5Ol1Ir0KVyCHgnVp-xoVaGc77EQfYsD9dTzF99m4Lk3HcjtYOkrpHjIaYsh9Ttzy3lNKY4LMSMJxzv_3Mudi_Pu81bsf14fd-stwU5j0WI0ChvyFqrOWrS5PSSGHxQU2EDXFlGV4ELxuIEPXlEvcSKTQAAMxePf7O39_UppyPla_1rUd8szA-lXkGW</recordid><startdate>20201212</startdate><enddate>20201212</enddate><creator>Tuncer, O. Ogulcan</creator><creator>Gok, Ismail</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20201212</creationdate><title>Pedal curves of hyperbolic frontals and their singularities</title><author>Tuncer, O. Ogulcan ; Gok, Ismail</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a678-ce1d073a5552fe2a2a629af17c02a2f31f45f86416c358a627a7882984f3c1113</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Mathematics - Differential Geometry</topic><toplevel>online_resources</toplevel><creatorcontrib>Tuncer, O. Ogulcan</creatorcontrib><creatorcontrib>Gok, Ismail</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Tuncer, O. Ogulcan</au><au>Gok, Ismail</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Pedal curves of hyperbolic frontals and their singularities</atitle><date>2020-12-12</date><risdate>2020</risdate><abstract>This paper introduces pedal curves of spacelike frontals in the hyperbolic
2-space. We mainly investigate the singularities of these hyperbolic pedal
curves of spacelike frontals for non-singular and singular dual curve germs. We
then show that for non-singular dual curve germs, the singularities of a pedal
curve are dependent on the singularities of the first hyperbolic Legendrian
curvature germ and the location of the pedal point, while for singular dual
curve germs, they depend upon the singularities of both hyperbolic Legendrian
curvature germs and also the location of the pedal point. We provide several
examples with figures.</abstract><doi>10.48550/arxiv.2012.06818</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Differential Geometry |
| title | Pedal curves of hyperbolic frontals and their singularities |
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