{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,11]],"date-time":"2025-04-11T23:04:06Z","timestamp":1744412646269,"version":"3.37.3"},"reference-count":9,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions for the Sabban frame\u2019s vectors of spacelike and timelike pseudospherical Smarandache curves. We also prove that if the pseudospherical null straight lines are the Smarandache curves of a spacelike pseudospherical curve<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>\u03b1<\/mml:mi><\/mml:mrow><\/mml:math>, then<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>\u03b1<\/mml:mi><\/mml:mrow><\/mml:math>has constant geodesic curvature. Finally, we give some examples of pseudospherical Smarandache curves.<\/jats:p>","DOI":"10.1155\/2014\/404521","type":"journal-article","created":{"date-parts":[[2014,2,24]],"date-time":"2014-02-24T16:02:16Z","timestamp":1393257736000},"page":"1-14","source":"Crossref","is-referenced-by-count":2,"title":["On Pseudospherical Smarandache Curves in Minkowski 3-Space"],"prefix":"10.1155","volume":"2014","author":[{"given":"Esra Betul","family":"Koc Ozturk","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, University of \u00c7ankiri Karatekin, 18100 \u00c7ankiri, Turkey"},{"name":"School of Mathematics & Statistical Sciences, Room PSA442, Arizona State University, Tempe, AZ 85287-1804, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8800-7869","authenticated-orcid":true,"given":"Ufuk","family":"Ozturk","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, University of \u00c7ankiri Karatekin, 18100 \u00c7ankiri, Turkey"},{"name":"School of Mathematics & Statistical Sciences, Room PSA442, Arizona State University, Tempe, AZ 85287-1804, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kazim","family":"Ilarslan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences and Arts, University of Kirikkale, 71450 Kirikkale, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Emilija","family":"Ne\u0161ovi\u0107","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, 34000 Kragujevac, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"issue":"1\u20133","key":"2","first-page":"212","volume":"8","year":"1997","journal-title":"Smarandache Notions Journal"},{"key":"9","first-page":"51","volume":"3","year":"2008","journal-title":"International Journal of Mathematical Combinatorics"},{"key":"1","first-page":"30","volume":"2","year":"2010","journal-title":"International Journal of Mathematical Combinatorics"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/658670"},{"key":"4","first-page":"139","volume":"6","year":"2011","journal-title":"Kochi Journal of Mathematics"},{"issue":"2","key":"5","first-page":"327","volume":"14","year":"2012","journal-title":"Advanced Modeling and Optimization"},{"issue":"1","key":"8","doi-asserted-by":"crossref","first-page":"51","DOI":"10.5269\/bspm.v32i1.19242","volume":"32","year":"2014","journal-title":"Boletim da Sociedade Paranaense de Matem\u00e1tica"},{"issue":"1-2","key":"7","first-page":"21","volume":"53","year":"2001","journal-title":"Matematichki Vesnik"},{"volume":"103","year":"1983","series-title":"Pure and Applied Mathematics","key":"6"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/404521.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/404521.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/404521.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T04:30:18Z","timestamp":1498105818000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/404521\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":9,"alternative-id":["404521","404521"],"URL":"https:\/\/doi.org\/10.1155\/2014\/404521","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}