Elsharkawy, Ayman; Elshenhab, Ahmed M. Mannheim curves and their partner curves in Minkowski 3-space \(E_1^3\). (English) Zbl 07623548 Demonstr. Math. 55, 798-811 (2022). MSC: 53A35 53C50 PDF BibTeX XML Cite \textit{A. Elsharkawy} and \textit{A. M. Elshenhab}, Demonstr. Math. 55, 798--811 (2022; Zbl 07623548) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{O. Keskin} and \textit{Y. Yayli}, Casp. J. Math. Sci. 9, No. 1, 86--99 (2020; Zbl 1463.53002) Full Text: DOI OpenURL
Aslan, Nihal Kılıç; İlarslan, Kazım Some characterizations of generalized null Mannheim curves in semi-Euclidean space. (English) Zbl 1448.53013 J. Geom. Symmetry Phys. 55, 1-20 (2020). MSC: 53A35 53B30 53B25 PDF BibTeX XML Cite \textit{N. K. Aslan} and \textit{K. İlarslan}, J. Geom. Symmetry Phys. 55, 1--20 (2020; Zbl 1448.53013) Full Text: DOI Euclid OpenURL
Paxton, E. Adam Embeddedness of timelike maximal surfaces in \((1 + 2)\)-Minkowski space. (English) Zbl 1447.53019 Ann. Henri Poincaré 21, No. 9, 3035-3068 (2020). MSC: 53A35 53C40 53B30 53E10 53A10 PDF BibTeX XML Cite \textit{E. A. Paxton}, Ann. Henri Poincaré 21, No. 9, 3035--3068 (2020; Zbl 1447.53019) Full Text: DOI arXiv OpenURL
Akamine, Shintaro; Cho, Joseph; Ogata, Yuta Analysis of timelike Thomsen surfaces. (English) Zbl 1439.53006 J. Geom. Anal. 30, No. 1, 731-761 (2020). Reviewer: Atsushi Fujioka (Osaka) MSC: 53A10 53A15 53B30 PDF BibTeX XML Cite \textit{S. Akamine} et al., J. Geom. Anal. 30, No. 1, 731--761 (2020; Zbl 1439.53006) Full Text: DOI arXiv OpenURL
Grochowski, Marek Causality and topology in sub-Lorentzian geometry. (English) Zbl 1480.53078 J. Math. Phys. 60, No. 1, 012702, 11 p. (2019). Reviewer: Adrian Sandovici (Piatra Neamt) MSC: 53C50 57S05 53C17 PDF BibTeX XML Cite \textit{M. Grochowski}, J. Math. Phys. 60, No. 1, 012702, 11 p. (2019; Zbl 1480.53078) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. Turhan}, Int. Electron. J. Geom. 11, No. 1, 26--36 (2018; Zbl 1407.53013) OpenURL
Ilarslan, Kazim; Nešović, Emilija On Bishop frame of a null Cartan curve in Minkowski space-time. (English) Zbl 1393.53017 Int. J. Geom. Methods Mod. Phys. 15, No. 8, Article ID 1850142, 16 p. (2018). MSC: 53B25 53B30 PDF BibTeX XML Cite \textit{K. Ilarslan} and \textit{E. Nešović}, Int. J. Geom. Methods Mod. Phys. 15, No. 8, Article ID 1850142, 16 p. (2018; Zbl 1393.53017) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{B. U. Düldül}, Honam Math. J. 39, No. 4, 603--616 (2017; Zbl 1403.53015) Full Text: DOI OpenURL
Mohamed, Samah Gaber Binormal motions of inextensible curves in de-Sitter space \(\mathbb{S}^{2,1}\). (English) Zbl 1378.53016 J. Egypt. Math. Soc. 25, No. 3, 313-318 (2017). MSC: 53A35 53A04 53A05 53C44 53Z05 PDF BibTeX XML Cite \textit{S. G. Mohamed}, J. Egypt. Math. Soc. 25, No. 3, 313--318 (2017; Zbl 1378.53016) Full Text: DOI OpenURL
Mağden, Abdullah; Yılmaz, Süha; Ünlütürk, Yasin Characterizations of special time-like curves in Lorentzian plane \(\mathbb{L}^2\). (English) Zbl 1376.53020 Int. J. Geom. Methods Mod. Phys. 14, No. 10, Article ID 1750140, 10 p. (2017). MSC: 53A35 53A40 53B25 PDF BibTeX XML Cite \textit{A. Mağden} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 10, Article ID 1750140, 10 p. (2017; Zbl 1376.53020) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{F. Karakuş} and \textit{Y. Yayli}, Adv. Appl. Clifford Algebr. 27, No. 2, 1353--1368 (2017; Zbl 1367.53015) Full Text: DOI OpenURL
İlarslan, Kazim; Kiliç, Nihal; Erdem, Hatice Altin Osculating curves in 4-dimensional semi-Euclidean space with index 2. (English) Zbl 1364.53013 Open Math. 15, 562-567 (2017). MSC: 53A35 53A04 PDF BibTeX XML Cite \textit{K. İlarslan} et al., Open Math. 15, 562--567 (2017; Zbl 1364.53013) Full Text: DOI OpenURL
Sami, Sasha; Chakrabarty, Indranil A note on superposition of two unknown states using Deutsch CTC model. (English) Zbl 1347.81025 Mod. Phys. Lett. A 31, No. 29, Article ID 1650170, 7 p. (2016). MSC: 81P16 81P45 PDF BibTeX XML Cite \textit{S. Sami} and \textit{I. Chakrabarty}, Mod. Phys. Lett. A 31, No. 29, Article ID 1650170, 7 p. (2016; Zbl 1347.81025) Full Text: DOI arXiv OpenURL
Karakuş, Fatma; Yayli, Yusuf On the surface the Fermi-Walker derivative in Minkowski 3-space. (English) Zbl 1342.53030 Adv. Appl. Clifford Algebr. 26, No. 2, 613-624 (2016). MSC: 53B25 53B30 PDF BibTeX XML Cite \textit{F. Karakuş} and \textit{Y. Yayli}, Adv. Appl. Clifford Algebr. 26, No. 2, 613--624 (2016; Zbl 1342.53030) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Önder}, TWMS J. Appl. Eng. Math. 5, No. 2, 219--230 (2015; Zbl 1364.53016) Full Text: arXiv OpenURL
Xu, Chuanyou; Cao, Xifang Bäcklund transformation on surfaces swept out by moving curves with constant torsion in Minkowski 3-space. (Chinese. English summary) Zbl 1340.53008 J. Huazhong Norm. Univ., Nat. Sci. 49, No. 1, 14-20 (2015). MSC: 53A05 37K10 PDF BibTeX XML Cite \textit{C. Xu} and \textit{X. Cao}, J. Huazhong Norm. Univ., Nat. Sci. 49, No. 1, 14--20 (2015; Zbl 1340.53008) OpenURL
İlarslan, Kazim; Uçum, Ali; Mladenov, Ivaïlo M. Sturmian spirals in Lorentz-Minkowski plane. (English) Zbl 1320.53018 J. Geom. Symmetry Phys. 37, 25-42 (2015). MSC: 53A35 53B25 53A04 PDF BibTeX XML Cite \textit{K. İlarslan} et al., J. Geom. Symmetry Phys. 37, 25--42 (2015; Zbl 1320.53018) Full Text: DOI Link OpenURL
Babaarslan, Murat; Yayli, Yusuf Time-like constant slope surfaces and space-like Bertrand curves in Minkowski 3-space. (English) Zbl 1314.53025 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 84, No. 4, 535-540 (2014). MSC: 53A35 51B20 53Z05 65D17 PDF BibTeX XML Cite \textit{M. Babaarslan} and \textit{Y. Yayli}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 84, No. 4, 535--540 (2014; Zbl 1314.53025) Full Text: DOI arXiv OpenURL
Gök, İsmail; Nurkan, Semra Kaya; İlarslan, Kazim; Kula, Leventd; Altinok, Mesut Characterizations of timelike slant helices in Minkowski 3-space. (English) Zbl 1295.53007 Math. Commun. 19, No. 1, 119-138 (2014). MSC: 53A35 53B25 53B30 PDF BibTeX XML Cite \textit{İ. Gök} et al., Math. Commun. 19, No. 1, 119--138 (2014; Zbl 1295.53007) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{M. Önder} et al., Mat. Stud. 40, No. 1, 30--37 (2013; Zbl 1314.53040) OpenURL
Kocayiğit, Hüseyin; Önder, Mehmet Space curves of constant breadth in Minkowski 3-space. (English) Zbl 1277.53020 Ann. Mat. Pura Appl. (4) 192, No. 5, 805-814 (2013). Reviewer: Bernd Wegner (Berlin) MSC: 53A04 53B30 PDF BibTeX XML Cite \textit{H. Kocayiğit} and \textit{M. Önder}, Ann. Mat. Pura Appl. (4) 192, No. 5, 805--814 (2013; Zbl 1277.53020) Full Text: DOI OpenURL
Ganchev, Georgi; Milousheva, Velichka Timelike surfaces with zero mean curvature in Minkowski 4-space. (English) Zbl 1281.53022 Isr. J. Math. 196, 413-433 (2013). Reviewer: Gheorghe Zet (Iaşi) MSC: 53B25 53B30 PDF BibTeX XML Cite \textit{G. Ganchev} and \textit{V. Milousheva}, Isr. J. Math. 196, 413--433 (2013; Zbl 1281.53022) Full Text: DOI arXiv OpenURL
Aydin, M. Evren; Ergüt, Mahmut The inverse surfaces of tangent developable of a timelike curve in Minkowski space \(\mathbb{E}_{1}^{3}\). (English) Zbl 1278.53020 Int. J. Pure Appl. Math. 82, No. 1, 53-64 (2013). MSC: 53B25 53B30 53A35 PDF BibTeX XML Cite \textit{M. E. Aydin} and \textit{M. Ergüt}, Int. J. Pure Appl. Math. 82, No. 1, 53--64 (2013; Zbl 1278.53020) Full Text: Link OpenURL
Wang, Zhigang; Pei, Donghe; Fan, Xiaoming Singularities of null developable of timelike curve that lies on nullcone in semi-Euclidean 3-space with index 2. (English) Zbl 1256.53012 Topology Appl. 160, No. 1, 189-198 (2013). MSC: 53A35 58K60 58K65 53B25 53B30 PDF BibTeX XML Cite \textit{Z. Wang} et al., Topology Appl. 160, No. 1, 189--198 (2013; Zbl 1256.53012) Full Text: DOI OpenURL
Yayli, Yusuf; Saracoglu, Semra On developable ruled surfaces in Minkowski space. (English) Zbl 1257.53033 Adv. Appl. Clifford Algebr. 22, No. 2, 499-510 (2012). MSC: 53B25 53B30 53A05 53A04 53A25 PDF BibTeX XML Cite \textit{Y. Yayli} and \textit{S. Saracoglu}, Adv. Appl. Clifford Algebr. 22, No. 2, 499--510 (2012; Zbl 1257.53033) Full Text: DOI arXiv OpenURL
Bektaş, Özcan; Şenyurt, Süleyman On some characterizations of ruled surface of a closed timelike curve in dual Lorentzian space. (English) Zbl 1254.53028 Adv. Appl. Clifford Algebr. 22, No. 4, 939-953 (2012). MSC: 53B25 53A25 53B30 PDF BibTeX XML Cite \textit{Ö. Bektaş} and \textit{S. Şenyurt}, Adv. Appl. Clifford Algebr. 22, No. 4, 939--953 (2012; Zbl 1254.53028) Full Text: DOI arXiv OpenURL
Bilici, M.; Çalişkan, M. Some new notes on the involutes of the timelike curves in Minkowski 3-space. (English) Zbl 1243.53022 Int. J. Contemp. Math. Sci. 6, No. 41-44, 2019-2030 (2011). MSC: 53B30 53A04 PDF BibTeX XML Cite \textit{M. Bilici} and \textit{M. Çalişkan}, Int. J. Contemp. Math. Sci. 6, No. 41--44, 2019--2030 (2011; Zbl 1243.53022) Full Text: Link OpenURL
Kahraman, Tanju; Önder, Mehmet; Kazaz, Mustafa; Uğurlu, H. Hüseyin Some characterizations of Mannheim partner curves in the Minkowski 3-space \(E_{1}^{3}\). (English) Zbl 1247.53005 Proc. Est. Acad. Sci. 60, No. 4, 210-220 (2011). Reviewer: Erhard Heil (Darmstadt) MSC: 53A04 53B30 PDF BibTeX XML Cite \textit{T. Kahraman} et al., Proc. Est. Acad. Sci. 60, No. 4, 210--220 (2011; Zbl 1247.53005) Full Text: DOI arXiv OpenURL
Sager, Ilgin; Abazari, Nemat; Ekmekci, Nejat; Yayli, Yusuf The classical elastic curves in Lorentz-Minkowski space. (English) Zbl 1227.53023 Int. J. Contemp. Math. Sci. 6, No. 5-8, 309-320 (2011). MSC: 53B25 53A04 53B30 PDF BibTeX XML Cite \textit{I. Sager} et al., Int. J. Contemp. Math. Sci. 6, No. 5--8, 309--320 (2011; Zbl 1227.53023) Full Text: Link OpenURL
Önder, Mehmet; Kocayiğit, Hüseyin; Candan, Elif Differential equations characterizing timelike and spacelike curves of constant breadth in Minkowski 3-space \(E_1^3\). (English) Zbl 1219.53016 J. Korean Math. Soc. 48, No. 4, 849-866 (2011). MSC: 53A35 53A04 53B30 PDF BibTeX XML Cite \textit{M. Önder} et al., J. Korean Math. Soc. 48, No. 4, 849--866 (2011; Zbl 1219.53016) Full Text: DOI OpenURL
Ali, Ahmad Tawfik Time-like Smarandache curves derived from a space-like helix. (English) Zbl 1217.53013 J. Dyn. Syst. Geom. Theor. 8, No. 1, 93-100 (2010). MSC: 53A35 53B30 PDF BibTeX XML Cite \textit{A. T. Ali}, J. Dyn. Syst. Geom. Theor. 8, No. 1, 93--100 (2010; Zbl 1217.53013) Full Text: DOI OpenURL
Pfäffle, Frank Lorentzian manifolds. (English) Zbl 1185.53001 Bär, Christian (ed.) et al., Quantum field theory on curved spacetimes. Concepts and mathematical foundations. Extended lecture notes of the compact course quantum field theory on curved spacetimes, Potsdam, Germany, October 2007. Berlin: Springer (ISBN 978-3-642-02779-6/hbk; 978-3-642-02780-2/ebook). Lecture Notes in Physics 786, 39-58 (2009). MSC: 53-01 53B30 53C50 81-01 PDF BibTeX XML Cite \textit{F. Pfäffle}, Lect. Notes Phys. 786, 39--58 (2009; Zbl 1185.53001) Full Text: DOI OpenURL
Turgut, Melih On the invariants of time-like dual curves. (English) Zbl 1179.53006 Hacet. J. Math. Stat. 37, No. 2, 129-133 (2008). MSC: 53A05 53A25 53B30 PDF BibTeX XML Cite \textit{M. Turgut}, Hacet. J. Math. Stat. 37, No. 2, 129--133 (2008; Zbl 1179.53006) OpenURL
Minguzzi, Ettore; Sánchez, Miguel The causal hierarchy of space-times. (English) Zbl 1148.83002 Alekseevsky, Dmitri V. (ed.) et al., Recent developments in pseudo-Riemannian geometry. Zürich: European Mathematical Society (ISBN 978-3-03719-051-7/pbk). ESI Lectures in Mathematics and Physics, 299-358 (2008). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 83-02 83C10 83E05 83C05 PDF BibTeX XML Cite \textit{E. Minguzzi} and \textit{M. Sánchez}, in: Recent developments in pseudo-Riemannian geometry. Zürich: European Mathematical Society. 299--358 (2008; Zbl 1148.83002) Full Text: arXiv OpenURL
Bukcu, Bahaddin; Karacan, Murat Kemal On the involute and evolute curves of the timelike curve in Minkowski 3-space. (English) Zbl 1138.53019 Demonstr. Math. 40, No. 3, 721-732 (2007). Reviewer: Christos Baikoussis (Ioannina) MSC: 53A40 53B30 PDF BibTeX XML Cite \textit{B. Bukcu} and \textit{M. K. Karacan}, Demonstr. Math. 40, No. 3, 721--732 (2007; Zbl 1138.53019) Full Text: DOI OpenURL
Balgetir, Handan; Öğrenmiş, Alper Osman; Bektaş, Mehmet Curves on ruled surfaces in Minkowski 3-space. (English) Zbl 1124.53004 Int. J. Contemp. Math. Sci. 1, No. 1-4, 31-37 (2006). Reviewer: Georg Stamou (Thessaloniki) MSC: 53A25 53A05 53B35 PDF BibTeX XML Cite \textit{H. Balgetir} et al., Int. J. Contemp. Math. Sci. 1, No. 1--4, 31--37 (2006; Zbl 1124.53004) Full Text: DOI Link OpenURL
Öǧrenmiş, Alper Osman; Balgetir, Handan; Ergüt, Mahmut On the ruled surfaces in Minkowski 3-space \(R_1^3\). (English) Zbl 1101.53009 J. Zhejiang Univ., Sci. A 7, No. 3, 326-329 (2006). MSC: 53A35 53A04 PDF BibTeX XML Cite \textit{A. O. Öǧrenmiş} et al., J. Zhejiang Univ., Sci. A 7, No. 3, 326--329 (2006; Zbl 1101.53009) Full Text: DOI OpenURL
Yücesan, Ahmet; Çöken, A. Ceylan; Ayyildiz, Nihat On the Darboux rotation axis of Lorentz space curve. (English) Zbl 1059.53019 Appl. Math. Comput. 155, No. 2, 345-351 (2004). MSC: 53A35 53A04 PDF BibTeX XML Cite \textit{A. Yücesan} et al., Appl. Math. Comput. 155, No. 2, 345--351 (2004; Zbl 1059.53019) Full Text: DOI OpenURL
Romano, Antonio Enea; Goebel, Charles Gödel-type space-time metrics. (English) Zbl 1032.83022 Gen. Relativ. Gravitation 35, No. 10, 1857-1863 (2003). MSC: 83C15 83C10 83F05 83C50 PDF BibTeX XML Cite \textit{A. E. Romano} and \textit{C. Goebel}, Gen. Relativ. Gravitation 35, No. 10, 1857--1863 (2003; Zbl 1032.83022) Full Text: DOI arXiv OpenURL
Hernández-Pastora, J. L.; Martín, J.; Ruiz, E. On turning over gyroscopic precession. (English) Zbl 1014.70004 Pascual-Sánchez, J. F. (ed.) et al., Reference frames and gravitomagnetism. Proceedings of the 23rd Spanish relativity meeting (EREs2000), Valladolid, Spain, September 6-9, 2000. Singapore: World Scientific. 171-178 (2001). Reviewer: Yanzhu Liu (Shanghai) MSC: 70E05 70H40 PDF BibTeX XML Cite \textit{J. L. Hernández-Pastora} et al., in: Reference frames and gravitomagnetism. Proceedings of the 23rd Spanish relativity meeting (EREs2000), Valladolid, Spain, September 6--9, 2000. Singapore: World Scientific. 171--178 (2001; Zbl 1014.70004) OpenURL
Ekmekci, N.; Ilarslan, K. On characterization of general helices in Lorentzian space. (English) Zbl 1016.53010 Hadronic J. 23, No. 6, 677-682 (2000). MSC: 53A35 53A04 53C50 53A40 PDF BibTeX XML Cite \textit{N. Ekmekci} and \textit{K. Ilarslan}, Hadronic J. 23, No. 6, 677--682 (2000; Zbl 1016.53010) OpenURL
Bektaş, M.; Ergůt, M.; Soylu, D. A characterization for time-like curves in Lorentzian space. (English) Zbl 0972.53005 J. Inst. Math. Comput. Sci., Math. Ser. 12, No. 3, 277-281 (1999). MSC: 53A04 53B30 PDF BibTeX XML Cite \textit{M. Bektaş} et al., J. Inst. Math. Comput. Sci., Math. Ser. 12, No. 3, 277--281 (1999; Zbl 0972.53005) OpenURL
Soylu, D.; Bektas, M.; Ergut, M. Characterizations for osculator hypersphere in Lorentzian space. (English) Zbl 0962.53004 J. Inst. Math. Comput. Sci., Math. Ser. 12, No. 3, 229-235 (1999). MSC: 53A04 53B30 PDF BibTeX XML Cite \textit{D. Soylu} et al., J. Inst. Math. Comput. Sci., Math. Ser. 12, No. 3, 229--235 (1999; Zbl 0962.53004) OpenURL
Ekmekci, N.; Ilarslan, K. Higher curvatures of a regular curve in Lorentzian space. (English) Zbl 0918.53006 J. Inst. Math. Comput. Sci., Math. Ser. 11, No. 2, 97-102 (1998). Reviewer: A.Bucki (Oklahoma City) MSC: 53A35 51B20 53B30 PDF BibTeX XML Cite \textit{N. Ekmekci} and \textit{K. Ilarslan}, J. Inst. Math. Comput. Sci., Math. Ser. 11, No. 2, 97--102 (1998; Zbl 0918.53006) OpenURL
Matori, Yoshihiro Totally vicious space-times and reflectivity. (English) Zbl 0647.53048 J. Math. Phys. 29, No. 4, 823-824 (1988). Reviewer: Bernd Wegner MSC: 53C50 PDF BibTeX XML Cite \textit{Y. Matori}, J. Math. Phys. 29, No. 4, 823--824 (1988; Zbl 0647.53048) Full Text: DOI OpenURL
Clarke, C. J. S.; de Felice, F. Globally non-causal space-times. (English) Zbl 0493.53048 J. Phys. A 15, 2415-2417 (1982). MSC: 53C50 53C80 83F05 PDF BibTeX XML Cite \textit{C. J. S. Clarke} and \textit{F. de Felice}, J. Phys. A, Math. Gen. 15, 2415--2417 (1982; Zbl 0493.53048) Full Text: DOI OpenURL