Nomoto, Subaru; Nozawa, Hiraku Generalized Bishop frames of regular curves in \(\mathbb{E}^4 \). (English) Zbl 07810899 Hokkaido Math. J. 53, No. 1, 71-89 (2024). MSC: 53A04 53A45 53C42 PDFBibTeX XMLCite \textit{S. Nomoto} and \textit{H. Nozawa}, Hokkaido Math. J. 53, No. 1, 71--89 (2024; Zbl 07810899) Full Text: DOI Link
Oh, Yun Myung; Garcia-Roblero, Devin On determining the equation of a Salkowski curve satisfying \(\frac{\tau}{\kappa}=\frac{1}{s}\). (English) Zbl 07824064 PUMP J. Undergrad. Res. 6, 346-353 (2023). MSC: 53A04 PDFBibTeX XMLCite \textit{Y. M. Oh} and \textit{D. Garcia-Roblero}, PUMP J. Undergrad. Res. 6, 346--353 (2023; Zbl 07824064) Full Text: Link
Pal, Buddhaev; Kumar, Santosh Ruled like surfaces in three dimensional Euclidean space. (English) Zbl 07822973 Ann. Math. Inform. 59, 83-101 (2023). MSC: 53A05 53A04 PDFBibTeX XMLCite \textit{B. Pal} and \textit{S. Kumar}, Ann. Math. Inform. 59, 83--101 (2023; Zbl 07822973) Full Text: DOI
Demir, Demet; İlarslan, Kazım On generalized Bertrand curves in Euclidean 3-space. (English) Zbl 07742886 Facta Univ., Ser. Math. Inf. 38, No. 1, 199-208 (2023). MSC: 53A04 PDFBibTeX XMLCite \textit{D. Demir} and \textit{K. İlarslan}, Facta Univ., Ser. Math. Inf. 38, No. 1, 199--208 (2023; Zbl 07742886) Full Text: DOI
Yadav, Akhilesh; Pal, Buddhadev Some characterizations of rectifying curves on a smooth surface in Euclidean 3-space. (English) Zbl 1513.53007 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 68, No. 1, 1-11 (2022). MSC: 53A04 53A05 53A15 PDFBibTeX XMLCite \textit{A. Yadav} and \textit{B. Pal}, An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 68, No. 1, 1--11 (2022; Zbl 1513.53007) Full Text: DOI arXiv
Yilmaz, Munevver Yildirim; Erdem, Esra Higher order involutes of a curve in quaternionic spaces. (English) Zbl 1501.53066 Palest. J. Math. 11, No. 1, 416-426 (2022). Reviewer: Quanting Zhao (Wuhan) MSC: 53C26 53A04 PDFBibTeX XMLCite \textit{M. Y. Yilmaz} and \textit{E. Erdem}, Palest. J. Math. 11, No. 1, 416--426 (2022; Zbl 1501.53066) Full Text: Link
Liu, Huili; Liu, Yixuan; Jung, Seoung Dal Ruled invariants and total classification of non-developable ruled surfaces. (English) Zbl 1497.53008 J. Geom. 113, No. 1, Paper No. 21, 13 p. (2022). Reviewer: Danail Brezov (Sofia) MSC: 53A04 53A05 53A17 53A55 53C12 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Geom. 113, No. 1, Paper No. 21, 13 p. (2022; Zbl 1497.53008) Full Text: DOI
Yadav, A.; Pal, B. On relatively normal-slant helices and isophotic curves. (English) Zbl 1524.53010 Acta Univ. Apulensis, Math. Inform. 67, 69-79 (2021). MSC: 53A04 53A05 PDFBibTeX XMLCite \textit{A. Yadav} and \textit{B. Pal}, Acta Univ. Apulensis, Math. Inform. 67, 69--79 (2021; Zbl 1524.53010) Full Text: arXiv
Cansu, Gizem; Yaylı, Yusuf; Gök, İsmail A new quaternion valued frame of curves with an application. (English) Zbl 1499.53003 Filomat 35, No. 1, 315-330 (2021). MSC: 53A04 11R52 PDFBibTeX XMLCite \textit{G. Cansu} et al., Filomat 35, No. 1, 315--330 (2021; Zbl 1499.53003) Full Text: DOI
Abdel-Baky, Rashad; Saad, Mohamed Khalifa Some characterizations of dual curves in dual 3-space \(\mathbb{D}^3\). (English) Zbl 1525.53003 AIMS Math. 6, No. 4, 3339-3351 (2021). MSC: 53A04 53C50 53C40 PDFBibTeX XMLCite \textit{R. Abdel-Baky} and \textit{M. K. Saad}, AIMS Math. 6, No. 4, 3339--3351 (2021; Zbl 1525.53003) Full Text: DOI
Makki, Roa Some characterizations of non-null rectifying curves in dual Lorentzian 3-space \(\mathbb{D}_1^3\). (English) Zbl 1525.53018 AIMS Math. 6, No. 3, 2114-2131 (2021). MSC: 53A35 53A04 53B30 53A25 PDFBibTeX XMLCite \textit{R. Makki}, AIMS Math. 6, No. 3, 2114--2131 (2021; Zbl 1525.53018) Full Text: DOI
Camci, Çetin; Uçum, Ali; Ilarslan, Kazim Space curves related by a transformation of Combescure. (English) Zbl 1499.53090 J. Dyn. Syst. Geom. Theor. 19, No. 2, 271-287 (2021). MSC: 53B30 53A35 PDFBibTeX XMLCite \textit{Ç. Camci} et al., J. Dyn. Syst. Geom. Theor. 19, No. 2, 271--287 (2021; Zbl 1499.53090) Full Text: DOI
Iqbal, Zafar; Sengupta, Joydeep On \(f\)-rectifying curves in the Euclidean 4-space. (English) Zbl 1483.53008 Acta Univ. Sapientiae, Math. 13, No. 1, 192-208 (2021). MSC: 53A07 53A04 PDFBibTeX XMLCite \textit{Z. Iqbal} and \textit{J. Sengupta}, Acta Univ. Sapientiae, Math. 13, No. 1, 192--208 (2021; Zbl 1483.53008) Full Text: DOI
Abazari, Nemat; Bohner, Martin; Sağer, Ilgin; Sedaghatdoost, Alireza; Yayli, Yusuf A natural Frenet frame for null curves on the lightlike cone in Minkowski space \(\mathbb{R}^4_2 \). (English) Zbl 1503.53004 J. Inequal. Appl. 2020, Paper No. 235, 17 p. (2020). MSC: 53A04 53B30 53B25 53A35 53C50 PDFBibTeX XMLCite \textit{N. Abazari} et al., J. Inequal. Appl. 2020, Paper No. 235, 17 p. (2020; Zbl 1503.53004) Full Text: DOI
Keskin, Ozgur; Yayli, Yusuf Normal Fermi-Walker derivative in \(E_1^3\). (English) Zbl 1463.53002 Casp. J. Math. Sci. 9, No. 1, 86-99 (2020). MSC: 53A04 53A05 53Z05 53A35 53B30 PDFBibTeX XMLCite \textit{O. Keskin} and \textit{Y. Yayli}, Casp. J. Math. Sci. 9, No. 1, 86--99 (2020; Zbl 1463.53002) Full Text: DOI
Iqbal, Zafar; Sengupta, Joydeep Differential geometric aspects of lightlike \(f\)-rectifying curves in Minkowski space-time. (English) Zbl 1446.53010 Differ. Geom. Dyn. Syst. 22, 113-129 (2020). MSC: 53B25 53B30 53C40 53C50 PDFBibTeX XMLCite \textit{Z. Iqbal} and \textit{J. Sengupta}, Differ. Geom. Dyn. Syst. 22, 113--129 (2020; Zbl 1446.53010) Full Text: Link
Sood, K.; Srivastava, K.; Srivastava, S. K. Pointwise slant curves in quasi-paraSasakian 3-manifolds. (English) Zbl 1443.53009 Mediterr. J. Math. 17, No. 4, Paper No. 114, 16 p. (2020). MSC: 53B25 53C15 53A04 PDFBibTeX XMLCite \textit{K. Sood} et al., Mediterr. J. Math. 17, No. 4, Paper No. 114, 16 p. (2020; Zbl 1443.53009) Full Text: DOI
Kahraman, Tanju Differential equations of null quaternionic curves. (English) Zbl 1442.53009 Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 63, 9 p. (2020). MSC: 53A35 53B30 34A05 PDFBibTeX XMLCite \textit{T. Kahraman}, Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 63, 9 p. (2020; Zbl 1442.53009) Full Text: DOI
Bektaş, Özcan; Yüce, Salim Serret-Frenet formulas for octonionic curves. (English) Zbl 1431.53003 Bol. Soc. Parana. Mat. (3) 38, No. 3, 47-62 (2020). MSC: 53A04 14H50 11R52 PDFBibTeX XMLCite \textit{Ö. Bektaş} and \textit{S. Yüce}, Bol. Soc. Parana. Mat. (3) 38, No. 3, 47--62 (2020; Zbl 1431.53003) Full Text: Link
İyigün, Esen A study on a partially null curve in \(\mathbb{E}^4_2\). (English) Zbl 1487.53006 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 1, 277-282 (2019). MSC: 53A04 53A35 PDFBibTeX XMLCite \textit{E. İyigün}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 1, 277--282 (2019; Zbl 1487.53006) Full Text: DOI
Gözütok, Uğur; Çoban, Hüsnü Anıl; Sağıroğlu, Yasemin Frenet frame with respect to conformable derivative. (English) Zbl 1499.53004 Filomat 33, No. 6, 1541-1550 (2019). MSC: 53A04 26A33 PDFBibTeX XMLCite \textit{U. Gözütok} et al., Filomat 33, No. 6, 1541--1550 (2019; Zbl 1499.53004) Full Text: DOI
Güvenç, Şaban A note on \(f\)-biharmonic Legendre curves in \(\mathcal{S}\)-space forms. (English) Zbl 1460.53056 Int. Electron. J. Geom. 12, No. 2, 260-267 (2019). MSC: 53C43 53C25 53C40 53C30 PDFBibTeX XMLCite \textit{Ş. Güvenç}, Int. Electron. J. Geom. 12, No. 2, 260--267 (2019; Zbl 1460.53056) Full Text: DOI
Uyar Düldül, Bahar; Düldül, Mustafa Extended Darboux frame curvatures of Frenet curves lying on parametric 3-surfaces. (English) Zbl 1463.53010 Kuwait J. Sci. 46, No. 1, 15-23 (2019). MSC: 53A04 53A07 PDFBibTeX XMLCite \textit{B. Uyar Düldül} and \textit{M. Düldül}, Kuwait J. Sci. 46, No. 1, 15--23 (2019; Zbl 1463.53010) Full Text: Link
Brunel, Nicolas J.-B.; Park, Juhyun The Frenet-Serret framework for aligning geometric curves. (English) Zbl 1458.53007 Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 608-617 (2019). MSC: 53A04 60D05 62H99 PDFBibTeX XMLCite \textit{N. J. B. Brunel} and \textit{J. Park}, Lect. Notes Comput. Sci. 11712, 608--617 (2019; Zbl 1458.53007) Full Text: DOI Link
Shaikh, Absos Ali; Ghosh, Pinaki Ranjan Rectifying curves on a smooth surface immersed in the Euclidean space. (English) Zbl 1444.53007 Indian J. Pure Appl. Math. 50, No. 4, 883-890 (2019). MSC: 53A04 53A05 PDFBibTeX XMLCite \textit{A. A. Shaikh} and \textit{P. R. Ghosh}, Indian J. Pure Appl. Math. 50, No. 4, 883--890 (2019; Zbl 1444.53007) Full Text: DOI arXiv
Wang, Jianmin; Jiang, Ping; Guo, Yu; Meng, Jing Developable surface pencil pairs with special pairs as common asymptotes. (English) Zbl 1433.53009 Appl. Math. Comput. 362, Article ID 124583, 8 p. (2019). MSC: 53A05 53A04 PDFBibTeX XMLCite \textit{J. Wang} et al., Appl. Math. Comput. 362, Article ID 124583, 8 p. (2019; Zbl 1433.53009) Full Text: DOI
Liu, Huili; Liu, Yixuan; Jung, Seoung Dal Ruled invariants and associated ruled surfaces of a space curve. (English) Zbl 1428.53008 Appl. Math. Comput. 348, 479-486 (2019). MSC: 53A04 53A05 53A17 53A55 53B30 PDFBibTeX XMLCite \textit{H. Liu} et al., Appl. Math. Comput. 348, 479--486 (2019; Zbl 1428.53008) Full Text: DOI
Solouma, E. M.; Mahmoud, W. M. On spacelike equiform-Bishop Smarandache curves on \(S_1^2\). (English) Zbl 1429.53017 J. Egypt. Math. Soc. 27, Paper No. 7, 17 p. (2019). MSC: 53A40 53B30 PDFBibTeX XMLCite \textit{E. M. Solouma} and \textit{W. M. Mahmoud}, J. Egypt. Math. Soc. 27, Paper No. 7, 17 p. (2019; Zbl 1429.53017) Full Text: DOI
Erdoğdu, Melek On nonlightlike curves in Minkowski space-time. (English) Zbl 1438.53006 Konuralp J. Math. 7, No. 1, 208-216 (2019). MSC: 53A04 PDFBibTeX XMLCite \textit{M. Erdoğdu}, Konuralp J. Math. 7, No. 1, 208--216 (2019; Zbl 1438.53006) Full Text: Link
Lucas, Pascual; Ortega-Yagües, José Antonio Slant helices: a new approximation. (English) Zbl 1412.53020 Turk. J. Math. 43, No. 1, 473-485 (2019). MSC: 53A35 53A04 PDFBibTeX XMLCite \textit{P. Lucas} and \textit{J. A. Ortega-Yagües}, Turk. J. Math. 43, No. 1, 473--485 (2019; Zbl 1412.53020) Full Text: DOI
Soliman, M. A.; Abdel-All, Nassar H.; Hussien, R. A.; Shaker, Taha Youssef Surfaces generated via the evolution of spherical image of a space curve. (English) Zbl 1429.53009 Korean J. Math. 26, No. 3, 425-437 (2018). MSC: 53A05 PDFBibTeX XMLCite \textit{M. A. Soliman} et al., Korean J. Math. 26, No. 3, 425--437 (2018; Zbl 1429.53009) Full Text: DOI
Erkan, Esra; Yüce, Salim Serret-Frenet frame and curvatures of Bézier curves. (English) Zbl 1425.53004 Mathematics 6, No. 12, Paper No. 321, 20 p. (2018). MSC: 53A04 PDFBibTeX XMLCite \textit{E. Erkan} and \textit{S. Yüce}, Mathematics 6, No. 12, Paper No. 321, 20 p. (2018; Zbl 1425.53004) Full Text: DOI
İyigün, E. On the Darboux vector in Lorentzian 5-space. (English) Zbl 1417.53013 Ukr. Math. J. 70, No. 5, 730-738 (2018) and Ukr. Mat. Zh. 70, No. 5, 635-641 (2018). MSC: 53A35 53A04 PDFBibTeX XMLCite \textit{E. İyigün}, Ukr. Math. J. 70, No. 5, 730--738 (2018; Zbl 1417.53013) Full Text: DOI
Tozak, Hatice; Ekici, Cumali; Yormaz, Cansel On Bertrand supercurves in super-Euclidean space. (English) Zbl 1414.58005 Bull. Math. Anal. Appl. 10, No. 4, 14-30 (2018). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58A50 53A04 57R25 PDFBibTeX XMLCite \textit{H. Tozak} et al., Bull. Math. Anal. Appl. 10, No. 4, 14--30 (2018; Zbl 1414.58005) Full Text: Link
Yilmaz, Münevver Yildirim A note on Bertrand curves of constant precession. (English) Zbl 1424.53039 Bol. Soc. Parana. Mat. (3) 36, No. 3, 75-80 (2018). MSC: 53B05 53B15 53B30 PDFBibTeX XMLCite \textit{M. Y. Yilmaz}, Bol. Soc. Parana. Mat. (3) 36, No. 3, 75--80 (2018; Zbl 1424.53039) Full Text: Link
Güler, Fatma; Bayram, Ergin; Kasap, Emin Offset surface pencil with a common asymptotic curve. (English) Zbl 1405.53004 Int. J. Geom. Methods Mod. Phys. 15, No. 11, Article ID 1850195, 11 p. (2018). MSC: 53A05 53A04 14C21 PDFBibTeX XMLCite \textit{F. Güler} et al., Int. J. Geom. Methods Mod. Phys. 15, No. 11, Article ID 1850195, 11 p. (2018; Zbl 1405.53004) Full Text: DOI
Turhan, Tunahan On rectifying curves and their characterization in Lorentz \(n\)-space. (English) Zbl 1407.53013 Int. Electron. J. Geom. 11, No. 1, 26-36 (2018). MSC: 53A35 53B30 PDFBibTeX XMLCite \textit{T. Turhan}, Int. Electron. J. Geom. 11, No. 1, 26--36 (2018; Zbl 1407.53013)
Bhat, Vishesh S.; Haribaskar, R. A pair of kinematically related space curves. (English) Zbl 1403.53003 Int. J. Geom. Methods Mod. Phys. 15, No. 10, Article ID 1850180, 17 p. (2018). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 53A04 53A05 53A17 PDFBibTeX XMLCite \textit{V. S. Bhat} and \textit{R. Haribaskar}, Int. J. Geom. Methods Mod. Phys. 15, No. 10, Article ID 1850180, 17 p. (2018; Zbl 1403.53003) Full Text: DOI
Öztürk, Günay; Arslan, Kadri; Bulca, Betül A characterization of involutes and evolutes of a given curve in \(\mathbb{E}^n\). (English) Zbl 1398.53009 Kyungpook Math. J. 58, No. 1, 117-135 (2018). MSC: 53A04 53A05 PDFBibTeX XMLCite \textit{G. Öztürk} et al., Kyungpook Math. J. 58, No. 1, 117--135 (2018; Zbl 1398.53009) Full Text: DOI arXiv
Kahraman, Tanju Null quaternionic Bertrand partner curves. (English) Zbl 1397.53004 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1511-1515 (2018). MSC: 53A04 PDFBibTeX XMLCite \textit{T. Kahraman}, Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1511--1515 (2018; Zbl 1397.53004) Full Text: DOI
Güvenç, Şaban; Özgür, Cihan On slant curves in \(S\)-manifolds. (English) Zbl 1395.53015 Commun. Korean Math. Soc. 33, No. 1, 293-303 (2018). MSC: 53B25 53C43 53C25 53C40 53A04 PDFBibTeX XMLCite \textit{Ş. Güvenç} and \textit{C. Özgür}, Commun. Korean Math. Soc. 33, No. 1, 293--303 (2018; Zbl 1395.53015) Full Text: DOI
Abdel-Aziz, H. S.; Saad, M. Khalifa; Ali, Haytham A. Some properties of special magnetic curves. (English) Zbl 1399.53001 Int. J. Anal. Appl. 16, No. 2, 193-2 (2018). MSC: 53A04 53A17 53B30 PDFBibTeX XMLCite \textit{H. S. Abdel-Aziz} et al., Int. J. Anal. Appl. 16, No. 2, 193--2 (2018; Zbl 1399.53001) Full Text: Link
Yildirim Yilmaz, Münevver; Kulahci, Mihriban The classifications of quaternionic osculating curves in \(\mathbb{Q}^{4}\). (English) Zbl 1386.53004 Georgian Math. J. 25, No. 1, 149-154 (2018). MSC: 53A04 53C20 PDFBibTeX XMLCite \textit{M. Yildirim Yilmaz} and \textit{M. Kulahci}, Georgian Math. J. 25, No. 1, 149--154 (2018; Zbl 1386.53004) Full Text: DOI
Grbović, Milica; Nešović, Emilija On the Bishop frames of pseudo null and null Cartan curves in Minkowski 3-space. (English) Zbl 1385.53005 J. Math. Anal. Appl. 461, No. 1, 219-233 (2018). MSC: 53A35 53B25 53B30 PDFBibTeX XMLCite \textit{M. Grbović} and \textit{E. Nešović}, J. Math. Anal. Appl. 461, No. 1, 219--233 (2018; Zbl 1385.53005) Full Text: DOI
Bayram, Ergin; Bilici, Mustafa Erratum to: “Surface family with a common involute asymptotic curve”. (English) Zbl 1377.53005 Int. J. Geom. Methods Mod. Phys. 15, No. 1, Article ID 1892001, 1 p. (2018). MSC: 53A05 53A04 PDFBibTeX XMLCite \textit{E. Bayram} and \textit{M. Bilici}, Int. J. Geom. Methods Mod. Phys. 15, No. 1, Article ID 1892001, 1 p. (2018; Zbl 1377.53005) Full Text: DOI
Düldül, Bahar Uyar Some integral curves associated with a timelike Frenet curve in Minkowski 3-space. (English) Zbl 1403.53015 Honam Math. J. 39, No. 4, 603-616 (2017). MSC: 53A35 53A04 53B30 53B25 PDFBibTeX XMLCite \textit{B. U. Düldül}, Honam Math. J. 39, No. 4, 603--616 (2017; Zbl 1403.53015) Full Text: DOI
Kiliçoğlu, Şeyda; Şenyurt, Süleyman On the second order involute curves in \(\mathbb E^3\). (English) Zbl 1392.53006 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 66, No. 2, 332-339 (2017). MSC: 53A04 53A05 PDFBibTeX XMLCite \textit{Ş. Kiliçoğlu} and \textit{S. Şenyurt}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 66, No. 2, 332--339 (2017; Zbl 1392.53006) Full Text: DOI
Mak, Mahmut; Altínbaş, Hasan Some special associated curves of non-degenerate curve in anti de Sitter 3-space. (English) Zbl 1381.53031 Math. Sci. Appl. E-Notes 5, No. 2, 89-97 (2017). MSC: 53A35 53B30 PDFBibTeX XMLCite \textit{M. Mak} and \textit{H. Altínbaş}, Math. Sci. Appl. E-Notes 5, No. 2, 89--97 (2017; Zbl 1381.53031)
Olszak, Karina; Olszak, Zbigniew The equi-affine and Frenet curvatures of curves in pseudo-Riemannian 2-manifolds. (English) Zbl 1410.53062 Colloq. Math. 150, No. 1, 103-112 (2017). MSC: 53C42 53B05 53B30 53C50 58A15 PDFBibTeX XMLCite \textit{K. Olszak} and \textit{Z. Olszak}, Colloq. Math. 150, No. 1, 103--112 (2017; Zbl 1410.53062) Full Text: DOI arXiv
Solouma, E. M. Special equiform Smarandache curves in Minkowski space-time. (English) Zbl 1378.53027 J. Egypt. Math. Soc. 25, No. 3, 319-325 (2017). MSC: 53B30 53C25 PDFBibTeX XMLCite \textit{E. M. Solouma}, J. Egypt. Math. Soc. 25, No. 3, 319--325 (2017; Zbl 1378.53027) Full Text: DOI
Şenyurt, Süleyman; Çalışkan, Abdussamet Smarandache curves of Mannheim curve couple according to Frenet frame. (English) Zbl 1372.53005 Math. Sci. Appl. E-Notes 5, No. 1, 122-136 (2017). MSC: 53A04 PDFBibTeX XMLCite \textit{S. Şenyurt} and \textit{A. Çalışkan}, Math. Sci. Appl. E-Notes 5, No. 1, 122--136 (2017; Zbl 1372.53005)
Karakuş, Fatma; Yayli, Yusuf The Fermi-Walker derivative in Minkowski space \(E_1^3\). (English) Zbl 1367.53015 Adv. Appl. Clifford Algebr. 27, No. 2, 1353-1368 (2017). MSC: 53A35 53B25 53B30 53B50 PDFBibTeX XMLCite \textit{F. Karakuş} and \textit{Y. Yayli}, Adv. Appl. Clifford Algebr. 27, No. 2, 1353--1368 (2017; Zbl 1367.53015) Full Text: DOI
Bektaş, Özcan; Gürses, Nurten (Bayrak); Yüce, Salîm Quaternionic osculating curves in euclidean and semi-Euclidean space. (English) Zbl 1499.11345 J. Dyn. Syst. Geom. Theor. 14, No. 1, 65-84 (2016). MSC: 11R52 53A04 53C50 PDFBibTeX XMLCite \textit{Ö. Bektaş} et al., J. Dyn. Syst. Geom. Theor. 14, No. 1, 65--84 (2016; Zbl 1499.11345) Full Text: DOI
Uçum, Ali; Keçilioğlu, Osman; İlarslan, Kazim Generalized Bertrand curves with spacelike \((1,3)\)-normal plane in Minkowski space-time. (English) Zbl 1424.53103 Turk. J. Math. 40, No. 3, 487-505 (2016). MSC: 53C50 53C40 PDFBibTeX XMLCite \textit{A. Uçum} et al., Turk. J. Math. 40, No. 3, 487--505 (2016; Zbl 1424.53103) Full Text: DOI
Öztürk, Günay; Arslan, Kadri On focal curves in Euclidean \(n\)-space \(\mathbb{R}^n\). (English) Zbl 1474.53022 Novi Sad J. Math. 46, No. 1, 35-44 (2016). MSC: 53A04 53C42 PDFBibTeX XMLCite \textit{G. Öztürk} and \textit{K. Arslan}, Novi Sad J. Math. 46, No. 1, 35--44 (2016; Zbl 1474.53022)
Akgun, M. Aykut; Sivridag, Ali Ihsan; Kilic, Erol The characterizations of spacelike curves in \(R_1^4\). (English) Zbl 1357.53021 Konuralp J. Math. 4, No. 2, 299-307 (2016). MSC: 53A35 53B30 PDFBibTeX XMLCite \textit{M. A. Akgun} et al., Konuralp J. Math. 4, No. 2, 299--307 (2016; Zbl 1357.53021) Full Text: Link
Kiliçoǧlu, Şeyda; Şenyurt, Süleyman; Çalişkan, Abdussamet On the striction curves of involutive Frenet ruled surfaces in \(\mathbb{E}^3\). (English) Zbl 1357.53011 Konuralp J. Math. 4, No. 2, 282-289 (2016). MSC: 53A05 53A04 PDFBibTeX XMLCite \textit{Ş. Kiliçoǧlu} et al., Konuralp J. Math. 4, No. 2, 282--289 (2016; Zbl 1357.53011) Full Text: Link
Kiliçoǧlu, Şeyda An examination on the Mannheim Frenet ruled surface based on normal vector fields in \(E^3\). (English) Zbl 1358.53008 Konuralp J. Math. 4, No. 2, 223-229 (2016). MSC: 53A05 53A04 PDFBibTeX XMLCite \textit{Ş. Kiliçoǧlu}, Konuralp J. Math. 4, No. 2, 223--229 (2016; Zbl 1358.53008) Full Text: Link
Öztekin, Handan Normal and rectifying curves in Galilean space \(G_3\). (English) Zbl 1353.53013 Proc. Inst. Appl. Math. 5, No. 1, 98-109 (2016). MSC: 53A35 53A40 PDFBibTeX XMLCite \textit{H. Öztekin}, Proc. Inst. Appl. Math. 5, No. 1, 98--109 (2016; Zbl 1353.53013) Full Text: Link
Arroyo, J.; Garay, O. J.; Pámpano, A. Curvature-dependent energies minimizers and visual curve completion. (English) Zbl 1349.53109 Nonlinear Dyn. 86, No. 2, 1137-1156 (2016). MSC: 53C80 53C40 53A04 PDFBibTeX XMLCite \textit{J. Arroyo} et al., Nonlinear Dyn. 86, No. 2, 1137--1156 (2016; Zbl 1349.53109) Full Text: DOI
Şekerci, Gülşah Aydın; Çöken, Abdilkadir Ceylan; Ekici, Cumali On Darboux rotation axis of lightlike curves. (English) Zbl 1351.53025 Int. J. Geom. Methods Mod. Phys. 13, No. 9, Article ID 1650112, 12 p. (2016). MSC: 53A35 53A04 PDFBibTeX XMLCite \textit{G. A. Şekerci} et al., Int. J. Geom. Methods Mod. Phys. 13, No. 9, Article ID 1650112, 12 p. (2016; Zbl 1351.53025) Full Text: DOI
Saad, M. Khalifa Spacelike and timelike admissible Smarandache curves in pseudo-Galilean space. (English) Zbl 1342.53018 J. Egypt. Math. Soc. 24, No. 3, 416-423 (2016). MSC: 53A35 53B30 PDFBibTeX XMLCite \textit{M. K. Saad}, J. Egypt. Math. Soc. 24, No. 3, 416--423 (2016; Zbl 1342.53018) Full Text: DOI arXiv
Bayram, Ergin; Bilici, Mustafa Surface family with a common involute asymptotic curve. (English) Zbl 1338.53007 Int. J. Geom. Methods Mod. Phys. 13, No. 5, Article ID 1650062, 9 p. (2016); erratum ibid. 15, No. 1, Article ID 1892001, 1 p. (2018). MSC: 53A05 53A04 PDFBibTeX XMLCite \textit{E. Bayram} and \textit{M. Bilici}, Int. J. Geom. Methods Mod. Phys. 13, No. 5, Article ID 1650062, 9 p. (2016; Zbl 1338.53007) Full Text: DOI
Nešović, Emilija; Öztürk, Ufuk; Öztürk, Esra Betül Koç On \(k\)-type pseudo null Darboux helices in Minkowski 3-space. (English) Zbl 1337.53031 J. Math. Anal. Appl. 439, No. 2, 690-700 (2016). MSC: 53B25 53B30 53A04 PDFBibTeX XMLCite \textit{E. Nešović} et al., J. Math. Anal. Appl. 439, No. 2, 690--700 (2016; Zbl 1337.53031) Full Text: DOI
Uyar Düldül, Bahar; Düldül, Mustafa Can we find Willmore-like method for the tangential intersection problems? (English) Zbl 1336.53011 J. Comput. Appl. Math. 302, 301-311 (2016). MSC: 53A05 53A04 PDFBibTeX XMLCite \textit{B. Uyar Düldül} and \textit{M. Düldül}, J. Comput. Appl. Math. 302, 301--311 (2016; Zbl 1336.53011) Full Text: DOI
Hristov, Milen J. A geometric study on Laplace transformed curves. (English) Zbl 1333.53005 Adachi, Toshiaki (ed.) et al., Current developments in differential geometry and its related fields. Proceedings of the 4th international colloquium, Veliko Tarnovo, Bulgaria, September 8–12, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-4713-78-8/hbk; 978-981-4719-79-7/ebook). 225-233 (2016). MSC: 53A04 44A10 PDFBibTeX XMLCite \textit{M. J. Hristov}, in: Current developments in differential geometry and its related fields. Proceedings of the 4th international colloquium, Veliko Tarnovo, Bulgaria, September 8--12, 2014. Hackensack, NJ: World Scientific. 225--233 (2016; Zbl 1333.53005) Full Text: DOI
Uçum, Ali; Nešović, Emilija; İlarslan, Kazim On generalized timelike Mannheim curves in Minkowski space-time. (English) Zbl 1499.53304 J. Dyn. Syst. Geom. Theor. 13, No. 1, 71-94 (2015). MSC: 53C50 53C40 PDFBibTeX XMLCite \textit{A. Uçum} et al., J. Dyn. Syst. Geom. Theor. 13, No. 1, 71--94 (2015; Zbl 1499.53304) Full Text: DOI
Ilarslan, K.; Uçum, A.; Ozkaldi Karakus, S. On curve couples with joint timelike Frenet planes in Minkowski 3-space. (English) Zbl 1374.53084 Acta Univ. Apulensis, Math. Inform. 44, 87-108 (2015). MSC: 53C40 53C50 PDFBibTeX XMLCite \textit{K. Ilarslan} et al., Acta Univ. Apulensis, Math. Inform. 44, 87--108 (2015; Zbl 1374.53084)
Önder, Mehmet Similar ruled surfaces with variable transformations in Minkowski 3-space \(E^3_1\). (English) Zbl 1364.53016 TWMS J. Appl. Eng. Math. 5, No. 2, 219-230 (2015). Reviewer: Constantin Călin (Iaşi) MSC: 53A35 53A25 53B25 PDFBibTeX XMLCite \textit{M. Önder}, TWMS J. Appl. Eng. Math. 5, No. 2, 219--230 (2015; Zbl 1364.53016) Full Text: arXiv
Uçum, A.; Ilarslan, K.; ÖzkaldiKarakuş, S. On curve couples with joint lightlike Frenet planes in Minkowski 3-space. (English) Zbl 1349.53088 Acta Univ. Apulensis, Math. Inform. 41, 111-129 (2015). MSC: 53C40 53C50 PDFBibTeX XMLCite \textit{A. Uçum} et al., Acta Univ. Apulensis, Math. Inform. 41, 111--129 (2015; Zbl 1349.53088)
Ekici, Cumali; Tozak, Hatice On the involutes for dual split quaternionic curves. (English) Zbl 1336.53008 Konuralp J. Math. 3, No. 2, 190-201 (2015). MSC: 53A05 53A04 53A17 53A25 PDFBibTeX XMLCite \textit{C. Ekici} and \textit{H. Tozak}, Konuralp J. Math. 3, No. 2, 190--201 (2015; Zbl 1336.53008)
Öztürk, Günay; Bulca, Betül; Bayram, Bengü; Arslan, Kadri Focal representation of \(k\)-slant helices in \(\mathbb E^{m+1}\). (English) Zbl 1333.53007 Acta Univ. Sapientiae, Math. 7, No. 2, 200-209 (2015). MSC: 53A04 53A07 PDFBibTeX XMLCite \textit{G. Öztürk} et al., Acta Univ. Sapientiae, Math. 7, No. 2, 200--209 (2015; Zbl 1333.53007) Full Text: DOI arXiv
Crasmareanu, Mircea; Frigioiu, Camelia Unitary vector fields are Fermi-Walker transported along Rytov-Legendre curves. (English) Zbl 1350.53025 Int. J. Geom. Methods Mod. Phys. 12, No. 10, Article ID 1550111, 9 p. (2015). Reviewer: Teng Fei (New York) MSC: 53B25 53D15 53A04 53A40 53C25 PDFBibTeX XMLCite \textit{M. Crasmareanu} and \textit{C. Frigioiu}, Int. J. Geom. Methods Mod. Phys. 12, No. 10, Article ID 1550111, 9 p. (2015; Zbl 1350.53025) Full Text: DOI
Sun, Jianguo; Pei, Donghe Some new properties of null curves on 3-null cone and unit semi-Euclidean 3-spheres. (English) Zbl 1329.53020 J. Nonlinear Sci. Appl. 8, No. 3, 275-284 (2015). MSC: 53A35 53B50 53A04 PDFBibTeX XMLCite \textit{J. Sun} and \textit{D. Pei}, J. Nonlinear Sci. Appl. 8, No. 3, 275--284 (2015; Zbl 1329.53020) Full Text: DOI Link
Yang, Yun; Yu, Yanhua Non-developable ruled surfaces with timelike ruling in Minkowski 3-space. (English) Zbl 1325.53024 Bull. Korean Math. Soc. 52, No. 4, 1339-1351 (2015). MSC: 53A35 53A55 53B30 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{Y. Yu}, Bull. Korean Math. Soc. 52, No. 4, 1339--1351 (2015; Zbl 1325.53024) Full Text: DOI
López, M. Castrillón; Mateos, V. Fernández; Masqué, J. Muñoz The equivalence problem of curves in a Riemannian manifold. (English) Zbl 1315.53016 Ann. Mat. Pura Appl. (4) 194, No. 2, 343-367 (2015). MSC: 53B25 53A55 53A04 53B20 53B21 53C35 58A20 PDFBibTeX XMLCite \textit{M. C. López} et al., Ann. Mat. Pura Appl. (4) 194, No. 2, 343--367 (2015; Zbl 1315.53016) Full Text: DOI arXiv
Karakuş, Fatma; Yayli, Yusuf The Fermi derivative in the hypersurfaces. (English) Zbl 1317.53008 Int. J. Geom. Methods Mod. Phys. 12, No. 1, Article ID 1550002, 12 p. (2015). Reviewer: Friedrich Manhart (Wien) MSC: 53A07 53Z05 57R25 PDFBibTeX XMLCite \textit{F. Karakuş} and \textit{Y. Yayli}, Int. J. Geom. Methods Mod. Phys. 12, No. 1, Article ID 1550002, 12 p. (2015; Zbl 1317.53008) Full Text: DOI
Božek, Miloš Low order singularities of Skew pedal curves. (English) Zbl 1351.53004 G, Slov. Čas. Geom. Graf. 11, No. 22, 5-14 (2014). MSC: 53A04 PDFBibTeX XMLCite \textit{M. Božek}, G, Slov. Čas. Geom. Graf. 11, No. 22, 5--14 (2014; Zbl 1351.53004)
Aksoyak, Ferdaǧ Kahraman; Gök, Ismail; Ilarslan, Kazim Generalized null Bertrand curves in Minkowski space-time. (English) Zbl 1349.53095 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 60, No. 2, 489-502 (2014). MSC: 53C50 53B30 PDFBibTeX XMLCite \textit{F. K. Aksoyak} et al., An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 60, No. 2, 489--502 (2014; Zbl 1349.53095) Full Text: DOI
López, M. Castrillón; Masqué, J. Muñoz Invariants of Riemannian curves in dimensions 2 and 3. (English) Zbl 1322.53024 Differ. Geom. Appl. 35, Suppl., 125-135 (2014). MSC: 53B25 53A55 53A04 53B20 53C35 58A20 PDFBibTeX XMLCite \textit{M. C. López} and \textit{J. M. Masqué}, Differ. Geom. Appl. 35, 125--135 (2014; Zbl 1322.53024) Full Text: DOI
Gök, İsmail; Nurkan, Semra Kaya; İlarslan, Kazim On pseudo null Bertrand curves in Minkowski space-time. (English) Zbl 1317.53023 Kyungpook Math. J. 54, No. 4, 685-697 (2014). MSC: 53B25 53B30 PDFBibTeX XMLCite \textit{İ. Gök} et al., Kyungpook Math. J. 54, No. 4, 685--697 (2014; Zbl 1317.53023) Full Text: DOI
Cavicchioli, Alberto; Spaggiari, Fulvia Geometry of curves. (Geometria delle curve.) (Italian) Zbl 1323.53001 Bologna: Pitagora Editrice (ISBN 978-88-371-1898-3/pbk). 182 p. (2014). Reviewer: Gabriel Teodor Pripoae (Bucureşti) MSC: 53-01 53A04 14H50 14H52 PDFBibTeX XMLCite \textit{A. Cavicchioli} and \textit{F. Spaggiari}, Geometria delle curve (Italian). Bologna: Pitagora Editrice (2014; Zbl 1323.53001)
López, Rafael Differential geometry of curves and surfaces in Lorentz-Minkowski space. (English) Zbl 1312.53022 Int. Electron. J. Geom. 7, No. 1, 44-107 (2014). MSC: 53A35 53A10 53-02 PDFBibTeX XMLCite \textit{R. López}, Int. Electron. J. Geom. 7, No. 1, 44--107 (2014; Zbl 1312.53022) Full Text: arXiv
Liu, Huili Curves in three dimensional Riemannian space forms. (English) Zbl 1317.53026 Result. Math. 66, No. 3-4, 469-480 (2014). Reviewer: Krishan Lal Duggal (Windsor) MSC: 53B25 53A04 PDFBibTeX XMLCite \textit{H. Liu}, Result. Math. 66, No. 3--4, 469--480 (2014; Zbl 1317.53026) Full Text: DOI
Macit, Nesibe; Düldül, Mustafa Some new associated curves of a Frenet curve in \(\mathbb{E}^{3}\) and \(\mathbb{E}^{4}\). (English) Zbl 1310.53003 Turk. J. Math. 38, No. 6, 1023-1037 (2014). MSC: 53A04 53A07 PDFBibTeX XMLCite \textit{N. Macit} and \textit{M. Düldül}, Turk. J. Math. 38, No. 6, 1023--1037 (2014; Zbl 1310.53003) Full Text: DOI Link
Uçum, Ali; İlarslan, Kazim; Karakus, Siddika Ozkaldi Curve couples and spacelike Frenet planes in Minkowski 3-space. (English) Zbl 1301.53013 Honam Math. J. 36, No. 3, 475-492 (2014). MSC: 53A35 53B25 PDFBibTeX XMLCite \textit{A. Uçum} et al., Honam Math. J. 36, No. 3, 475--492 (2014; Zbl 1301.53013) Full Text: DOI
Abdel-Aziz, H. S.; Saad, M. Khalifa; Abdel-Salam, A. A. On implicit surfaces and their intersection curve in Euclidean 4-space. (English) Zbl 1303.53012 Houston J. Math. 40, No. 2, 339-352 (2014). MSC: 53A07 53A04 53A05 PDFBibTeX XMLCite \textit{H. S. Abdel-Aziz} et al., Houston J. Math. 40, No. 2, 339--352 (2014; Zbl 1303.53012)
Liu, Huili; Yu, Yanhua; Jung, Seoung Dal Invariants of non-developable ruled surfaces in Euclidean 3-space. (English) Zbl 1296.53019 Beitr. Algebra Geom. 55, No. 1, 189-199 (2014). MSC: 53A05 53A04 53B21 PDFBibTeX XMLCite \textit{H. Liu} et al., Beitr. Algebra Geom. 55, No. 1, 189--199 (2014; Zbl 1296.53019) Full Text: DOI
Özgür, Cihan; Güvenç, Şaban On biharmonic Legendre curves in \(\mathcal S\)-space forms. (English) Zbl 1332.53074 Turk. J. Math. 38, No. 3, 454-461 (2014). Reviewer: Vladimir Yu. Rovenskij (Nesher) MSC: 53C40 53C43 53C25 53A04 PDFBibTeX XMLCite \textit{C. Özgür} and \textit{Ş. Güvenç}, Turk. J. Math. 38, No. 3, 454--461 (2014; Zbl 1332.53074) Full Text: DOI
Karakuş, Siddika Özkaldi; İlarslan, Kazim; Yayli, Yusuf A new approach for characterization of curve couples in Euclidean 3-space. (English) Zbl 1287.53002 Honam Math. J. 36, No. 1, 113-129 (2014). MSC: 53A04 PDFBibTeX XMLCite \textit{S. Ö. Karakuş} et al., Honam Math. J. 36, No. 1, 113--129 (2014; Zbl 1287.53002) Full Text: DOI
Körpınar, Talat; Turhan, Essin; Baş, Selçuk Characterizing of dual focal curves in \(\mathbb D^3\). (English) Zbl 1413.53013 Bol. Soc. Parana. Mat. (3) 31, No. 2, 77-82 (2013). MSC: 53A04 53A10 PDFBibTeX XMLCite \textit{T. Körpınar} et al., Bol. Soc. Parana. Mat. (3) 31, No. 2, 77--82 (2013; Zbl 1413.53013) Full Text: Link
Asil, Vedat; Körpınar, Talat Construction of inextensible flows of dual normal surfaces in the dual space \(\mathbb D^3\). (English) Zbl 1413.53005 Bol. Soc. Parana. Mat. (3) 31, No. 2, 31-37 (2013). MSC: 53A04 53A05 PDFBibTeX XMLCite \textit{V. Asil} and \textit{T. Körpınar}, Bol. Soc. Parana. Mat. (3) 31, No. 2, 31--37 (2013; Zbl 1413.53005) Full Text: Link
Küçükarslan, Zühal; Yılmaz, Münevver Yıldırım On Mannheim curves in Riemann-Otsuki space \(R\)-\(O_3\). (English) Zbl 1413.53036 Bol. Soc. Parana. Mat. (3) 31, No. 1, 79-88 (2013). MSC: 53B05 53B15 53B30 PDFBibTeX XMLCite \textit{Z. Küçükarslan} and \textit{M. Y. Yılmaz}, Bol. Soc. Parana. Mat. (3) 31, No. 1, 79--88 (2013; Zbl 1413.53036) Full Text: Link
Asil, Vedat; Körpinar, Talat Dual focal curves of dual spacelike curves in the dual Lorentzian \(\mathbb{D}^3_1\). (English) Zbl 1343.53005 Palest. J. Math. 2, No. 1, 110-112 (2013). MSC: 53A04 53A10 PDFBibTeX XMLCite \textit{V. Asil} and \textit{T. Körpinar}, Palest. J. Math. 2, No. 1, 110--112 (2013; Zbl 1343.53005) Full Text: Link
Keçilioğlu, Osman; İlarslan, Kazim Quaternionic Bertrand curves in Eucledian 4-space. (English) Zbl 1314.53003 Bull. Math. Anal. Appl. 5, No. 3, 27-38 (2013). MSC: 53A04 PDFBibTeX XMLCite \textit{O. Keçilioğlu} and \textit{K. İlarslan}, Bull. Math. Anal. Appl. 5, No. 3, 27--38 (2013; Zbl 1314.53003) Full Text: Link
Önder, M.; Kahraman, T.; Uǧurlu, H. H. Differential equations and integral characterizations of time-like and space-like spherical curves in the Minkowski space-time \(E^4_1\). (Russian. English summary) Zbl 1314.53040 Mat. Stud. 40, No. 1, 30-37 (2013). MSC: 53B25 53A35 34A05 PDFBibTeX XMLCite \textit{M. Önder} et al., Mat. Stud. 40, No. 1, 30--37 (2013; Zbl 1314.53040)
Abdel-Aziz, H. S.; Saad, M. Khalifa; Abdel-Salam, A. A. Tangential intersection curve of two ruled surfaces in \(E^3\). (English) Zbl 1308.53009 Int. J. Math. Stat. 14, No. 2, 55-65 (2013). MSC: 53A05 53A04 PDFBibTeX XMLCite \textit{H. S. Abdel-Aziz} et al., Int. J. Math. Stat. 14, No. 2, 55--65 (2013; Zbl 1308.53009) Full Text: Link
Yu, Yanhua; Yang, Yun; Liu, Huili Darboux curves in 3-dimensional Euclidean spaces. (Chinese. English summary) Zbl 1299.53005 J. Shenyang Norm. Univ., Nat. Sci. 31, No. 4, 503-508 (2013). MSC: 53A04 PDFBibTeX XMLCite \textit{Y. Yu} et al., J. Shenyang Norm. Univ., Nat. Sci. 31, No. 4, 503--508 (2013; Zbl 1299.53005) Full Text: DOI
Călin, Constantin; Crasmareanu, Mircea Slant curves and particles in three-dimensional warped products and their Lancret invariants. (English) Zbl 1282.53015 Bull. Aust. Math. Soc. 88, No. 1, 128-142 (2013). Reviewer: Fortuné Massamba (Pietermaritzburg) MSC: 53B25 53A55 53C40 PDFBibTeX XMLCite \textit{C. Călin} and \textit{M. Crasmareanu}, Bull. Aust. Math. Soc. 88, No. 1, 128--142 (2013; Zbl 1282.53015) Full Text: DOI
Karakuş, Fatma; Yayli, Yusuf The Fermi-Walker derivative in Lie groups. (English) Zbl 1272.53084 Int. J. Geom. Methods Mod. Phys. 10, No. 7, Article ID 1320011, 10 p. (2013). MSC: 53Z05 53A04 53A05 22E30 53C30 PDFBibTeX XMLCite \textit{F. Karakuş} and \textit{Y. Yayli}, Int. J. Geom. Methods Mod. Phys. 10, No. 7, Article ID 1320011, 10 p. (2013; Zbl 1272.53084) Full Text: DOI