## Takeuchi, Nobuko

Compute Distance To:
 Author ID: takeuchi.nobuko Published as: Takeuchi, Nobuko
 Documents Indexed: 28 Publications since 1985 Co-Authors: 8 Co-Authors with 19 Joint Publications 129 Co-Co-Authors
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### Co-Authors

 8 single-authored 9 Izumiya, Shyuichi 3 Kataoka, Kiyoomi 3 Ogiue, Koichi 3 Saji, Kentaro 1 Kubosawa, Hitoshi 1 Miyaoka, Reiko 1 Takahashi, Takeshi 1 Tamura, Michiko
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### Serials

 5 Journal of Geometry 4 Bulletin of Tokyo Gakugei University. Section IV. Mathematics and Natural Sciences 2 Beiträge zur Algebra und Geometrie 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Geometriae Dedicata 1 Hokkaido Mathematical Journal 1 Memoirs of the Faculty of Science. Series A. Mathematics 1 Proceedings of the American Mathematical Society 1 Note di Matematica 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Advances in Geometry 1 International Journal of Computational Methods 1 Bulletin of Tokyo Gakugei University. Natural Sciences 1 Complex Variables and Elliptic Equations 1 RIMS Kôkyûroku Bessatsu 1 Journal of Singularities
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### Fields

 25 Differential geometry (53-XX) 3 Partial differential equations (35-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

21 Publications have been cited 230 times in 180 Documents Cited by Year
New special curves and developable surfaces. Zbl 1081.53003
Izumiya, Shyuichi; Takeuchi, Nobuko
2004
Generic properties of helices and Bertrand curves. Zbl 1031.53007
Izumiya, Shyuichi; Takeuchi, Nobuko
2002
Special curves and ruled surfaces. Zbl 1035.53024
Izumiya, Shyuichi; Takeuchi, Nobuko
2003
Singularities of ruled surfaces in $$\mathbb R^3$$. Zbl 1098.58504
Izumiya, Shyuichi; Takeuchi, Nobuko
2001
Flat surfaces along cuspidal edges. Zbl 1376.57034
Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko
2017
Cyclides. Zbl 0970.53004
Takeuchi, Nobuko
2000
A sphere as a surface which contains many circles. Zbl 0571.53001
Takeuchi, Nobuko
1985
Circular surfaces. Zbl 1123.53005
Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko
2007
Evolutoids and pedaloids of plane curves. Zbl 1433.53005
Izumiya, Shyuichi; Takeuchi, Nobuko
2019
A closed surface of genus one in $$E^ 3$$ cannot contain seven circles through each point. Zbl 0617.53053
Takeuchi, Nobuko
1987
Singularities of line congruences. Zbl 1053.53007
Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko
2003
Clad helices and developable surfaces. Zbl 1314.53006
Takahashi, Takeshi; Takeuchi, Nobuko
2014
A surface which contains planar geodesics. Zbl 0647.53003
Takeuchi, Nobuko
1988
A surface which contains helical geodesics. Zbl 0714.53005
Takeuchi, Nobuko; Tamura, Michiko
1990
A sphere can be characterized as a smooth ovaloid which contains one circle through each point. Zbl 0793.53007
Ogiue, Koichi; Takeuchi, Nobuko
1994
A sphere as a surface which contains many circles. II. Zbl 0663.53002
Takeuchi, Nobuko
1989
Hulahoop surfaces. Zbl 0777.53007
Ogiue, Koichi; Takeuchi, Nobuko
1993
Cyclides as surfaces which contain many circles. Zbl 1124.51017
Takeuchi, Nobuko
2007
An explicit dynamic method of rigid bodies-spring model. Zbl 1359.74336
Yagi, T.; Takeuchi, N.
2015
A system of fifth-order partial differential equations describing a surface which contains many circles. Zbl 1294.53008
Kataoka, Kiyoomi; Takeuchi, Nobuko
2013
The non-integrability of some system of fifth-order partial differential equations describing surfaces containing 6 families of circles. Zbl 1294.53009
Kataoka, Kiyoomi; Takeuchi, Nobuko
2013
Evolutoids and pedaloids of plane curves. Zbl 1433.53005
Izumiya, Shyuichi; Takeuchi, Nobuko
2019
Flat surfaces along cuspidal edges. Zbl 1376.57034
Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko
2017
An explicit dynamic method of rigid bodies-spring model. Zbl 1359.74336
Yagi, T.; Takeuchi, N.
2015
Clad helices and developable surfaces. Zbl 1314.53006
Takahashi, Takeshi; Takeuchi, Nobuko
2014
A system of fifth-order partial differential equations describing a surface which contains many circles. Zbl 1294.53008
Kataoka, Kiyoomi; Takeuchi, Nobuko
2013
The non-integrability of some system of fifth-order partial differential equations describing surfaces containing 6 families of circles. Zbl 1294.53009
Kataoka, Kiyoomi; Takeuchi, Nobuko
2013
Circular surfaces. Zbl 1123.53005
Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko
2007
Cyclides as surfaces which contain many circles. Zbl 1124.51017
Takeuchi, Nobuko
2007
New special curves and developable surfaces. Zbl 1081.53003
Izumiya, Shyuichi; Takeuchi, Nobuko
2004
Special curves and ruled surfaces. Zbl 1035.53024
Izumiya, Shyuichi; Takeuchi, Nobuko
2003
Singularities of line congruences. Zbl 1053.53007
Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko
2003
Generic properties of helices and Bertrand curves. Zbl 1031.53007
Izumiya, Shyuichi; Takeuchi, Nobuko
2002
Singularities of ruled surfaces in $$\mathbb R^3$$. Zbl 1098.58504
Izumiya, Shyuichi; Takeuchi, Nobuko
2001
Cyclides. Zbl 0970.53004
Takeuchi, Nobuko
2000
A sphere can be characterized as a smooth ovaloid which contains one circle through each point. Zbl 0793.53007
Ogiue, Koichi; Takeuchi, Nobuko
1994
Hulahoop surfaces. Zbl 0777.53007
Ogiue, Koichi; Takeuchi, Nobuko
1993
A surface which contains helical geodesics. Zbl 0714.53005
Takeuchi, Nobuko; Tamura, Michiko
1990
A sphere as a surface which contains many circles. II. Zbl 0663.53002
Takeuchi, Nobuko
1989
A surface which contains planar geodesics. Zbl 0647.53003
Takeuchi, Nobuko
1988
A closed surface of genus one in $$E^ 3$$ cannot contain seven circles through each point. Zbl 0617.53053
Takeuchi, Nobuko
1987
A sphere as a surface which contains many circles. Zbl 0571.53001
Takeuchi, Nobuko
1985
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### Cited by 214 Authors

 18 Yayli, Yusuf 15 Gök, İsmail 14 Saji, Kentaro 11 Izumiya, Shyuichi 7 Takeuchi, Nobuko 7 Teramoto, Keisuke 5 Bektaş, Mehmet 5 İlarslan, Kazim 5 Önder, Mehmet 5 Öztürk, Ufuk 5 Uçum, Ali 5 Yilmaz, Beyhan 4 Călin, Constantin 4 Crâşmăreanu, Mircea 4 Lucas, Pascual 4 Nešović, Emilija 4 Ortega-Yagües, José Antonio 4 Pei, Donghe 4 Pérez-Díaz, Sonia 4 Ünlütürk, Yasin 3 Abdel-Baky, Rashad A. 3 Alghanemi, Azeb 3 Altunkaya, Bülent 3 Camci, Çetin 3 Chen, Bang-Yen 3 Deshmukh, Sharief 3 Hacísalihoğlu, Hasan Hilmi 3 Kiziltug, Sezai 3 Kula, Levent 3 Li, Yanlin 3 Martins, Rodrigo 3 Ozturk, Esra Betul Koc 3 Shen, Liyong 3 Skopenkov, Mikhail B. 3 Umehara, Masaaki 3 Yildirim, Handan 2 Ates, Fatma 2 Aydin, Muhittin Evren 2 Bhat, Vishesh S. 2 Çakmak, Ali 2 Çanakcı, Zeynep 2 Chahdi, Amina Ouazzani 2 Chen, Liang 2 Choi, Jinho 2 Düldül, Bahar Uyar 2 Düldül, Mustafa 2 Ekmekçi, Nejat 2 Ergut, Mahmut 2 Goldman, Ronald N. 2 Haribaskar, R. 2 Has, Aykut 2 Honda, Atsufumi 2 Kahraman, Ferdağ 2 Kataoka, Kiyoomi 2 Kaya, Onur 2 Kocakuşaklı, Erdem 2 Krasauskas, Rimvydas 2 Külahci, Mihriban Alyamaç 2 Lubbes, Niels 2 Naokawa, Kosuke 2 Ogiue, Koichi 2 Okuyucu, O. Zeki 2 Pal, Buddhadev 2 Ramis, Çağla 2 Sahiner, Burak 2 Şekerci, Gülşah Aydın 2 Takahashi, Masatomo 2 Takahashi, Takeshi 2 Tamura, Michiko 2 Tuncer, O. Oğulcan 2 Uzunoğlu, Beyhan 2 Wang, Haohao 2 Wang, Zhigang 2 Yamada, Kotaro 2 Yıldırım Yılmaz, Münevver 2 Yilmaz, Suha 1 Abdel-All, Nassar Hassan 1 Akgun, Muslum Aykut 1 Al-Dayel, Ibrahim 1 AlGhawazi, Abeer 1 Ali, Ahmad Tawfik 1 Alkan, Zeynep Büşra 1 Almaz, Fatma 1 Alshammari, Sana Hamoud 1 Arroyo, Josu J. 1 Arslan, Kadri 1 Ateş, Osman 1 Aydemir, Ismail 1 Babaarslan, Murat 1 Balgetir, Handan 1 Barbosa, Grazielle Feliciani 1 Bastl, Bohumír 1 Bayram, Bengu Kilic 1 Bekar, Murat 1 Blasco, Ángel 1 Bohr, Jakob 1 Bozkurt, Zehra 1 Bulca, Betül 1 Cambie, Stijn 1 Çetin, Esma Demir ...and 114 more Authors
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### Cited in 84 Serials

 11 Journal of Geometry 10 Turkish Journal of Mathematics 8 Applied Mathematics and Computation 7 Journal of Geometry and Physics 7 International Electronic Journal of Geometry 6 Advances in Applied Clifford Algebras 6 Filomat 6 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 6 AIMS Mathematics 5 Mediterranean Journal of Mathematics 4 Journal of Mathematical Analysis and Applications 4 Computer Aided Geometric Design 4 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 4 Journal of Dynamical Systems and Geometric Theories 3 Beiträge zur Algebra und Geometrie 3 Geometriae Dedicata 3 Iranian Journal of Science and Technology. Transaction A: Science 3 Asian-European Journal of Mathematics 3 Acta Universitatis Sapientiae. Mathematica 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Topology and its Applications 2 Abstract and Applied Analysis 2 Honam Mathematical Journal 2 Journal of Systems Science and Complexity 2 International Journal of Geometric Methods in Modern Physics 2 Advances in Mathematical Physics 2 Journal of Singularities 2 Korean Journal of Mathematics 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Ukrainian Mathematical Journal 1 Annales Polonici Mathematici 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Glasgow Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Kodai Mathematical Journal 1 Kyungpook Mathematical Journal 1 Mathematische Annalen 1 Mathematika 1 Osaka Journal of Mathematics 1 Tamkang Journal of Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Tsukuba Journal of Mathematics 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 Facta Universitatis. Series Mathematics and Informatics 1 International Journal of Mathematics 1 International Journal of Computational Geometry & Applications 1 Differential Geometry and its Applications 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Georgian Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Mathematical Physics, Analysis and Geometry 1 Taiwanese Journal of Mathematics 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Advances in Geometry 1 Nonlinear Functional Analysis and Applications 1 Portugaliae Mathematica. Nova Série 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 JP Journal of Geometry and Topology 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Algebra and its Applications 1 Journal of the Indonesian Mathematical Society 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Complex Variables and Elliptic Equations 1 Journal of Zhejiang University. Science A 1 Proceedings of the Steklov Institute of Mathematics 1 Applications and Applied Mathematics 1 Mathematics in Computer Science 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 TWMS Journal of Pure and Applied Mathematics 1 Symmetry 1 Journal of Mahani Mathematical Research Center 1 Caspian Journal of Mathematical Sciences 1 Geometry 1 International Journal of Applied and Computational Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Cited in 20 Fields

 165 Differential geometry (53-XX) 26 Manifolds and cell complexes (57-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Algebraic geometry (14-XX) 11 Numerical analysis (65-XX) 8 Geometry (51-XX) 6 Topological groups, Lie groups (22-XX) 4 Partial differential equations (35-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Optics, electromagnetic theory (78-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)