Tokyo Gakugei University, Mathematics, Professor

Tokyo Gakugei University, Natural Sciences DivisionMathematics 数学分野, Professor

博士(理学)

Geometry

微分幾何学、特異点論、曲面論

座標幾何学演習
May 2009, 竹内伸子, 泉屋周一, 村山光孝, 日科技連出版社

座標幾何学
May 2008, 竹内伸子, 泉屋周一, 村山光孝, 日科技連出版社

別冊数理科学　2008年4月号「多様体の広がり」
Apr. 2008, 泉屋 周一, 竹内 伸子, III．曲面の魅力　「線織面の微分幾何と特異点」, サイエンス社

Proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September 2005
Jan. 2007, Nobuko Takeuchi, Cyclides as surfaces which contain many circles, World Scientific Pub Co Inc., Real and Complex Singularities:Proceedings of the Australian-Japanese Workshop
Laurentiu Paunescu Adam Harris Toshizumi Fukui, Satoshi Koike (編集)

切って、見て、触れてよくわかる「かたち」の数学
Oct. 2005, 泉屋 周一, 竹内 伸子, 日科技連出版社

Applicable Mathematics in the Golden Age　 J. C. Misra（編集）
Apr. 2003, Shyuichi Izumiya , Nobuko Takeuchi, 12.Geometry of Ruled Surfaces, Narosa Publishing House, Delhi, India

かたちの事典 高木隆司（編集）
Mar. 2003, 竹内　伸子, 角,球,極小曲面,曲面,曲率,勾配,多様体,立体の断面, 丸善株式会社

数理科学　2001年2月号 「微分幾何の新世紀」
Feb. 2001, 泉屋 周一, 竹内 伸子, 線織面の微分幾何と特異点, サイエンス社

Primitivoids and inversions of plane curves
Apr. 2020, Shyuichi Izumiya, Nobuko Takeuchi, joint, Beiträge zur Algebra und Geometrie, 61, 2, 10.1007/s13366-019-00472-9

Evoltoids and pedaloids of plane curves
Dec. 2019, Shyuichi Izumiya, Nobuko Takeuchi, joint, Note di Matematica, 39, 2, 10.1285/i15900932v39n2p13

Flat surfaces along cuspidal edges
May 2017, Shyuichi Izumiya, Kentaro Saji, Nobuko Takeuchi, joint, Journal of Singularities, 16, 10.5427/jsing.2017.16c

Geometric constructions of Blum surfaces which contain six circles through each point
Oct. 2016, Osamu Aoki and Nobuko Takeuchi, joint, Bulletin of Tokyo Gakugei University, Division of Natural Sciences, 68

Clad helices and developable surfaces
Sep. 2014, Takeshi Takahashi, Nobuko Takeuchi, joint, Bulletin of Tokyo Gakugei University, Division of Natural Sciences, 66

On a system of fifth-order partial differential equations describing surfaces containing two families of circular arcs
Jan. 2014, Kiyoomi Kataoka , Nobuko Takeuchi, joint, Complex Variables and Elliptic Equations, Taylor & Francis, 59, 11

A system of fifth-order PDE’s describing surfaces containing 2 families of circular arcs and the reduction to a system of fifth-order ODE’s
Nov. 2013, Kiyoomi Kataoka, Nobuko Takeuchi, joint, RIMS Kokyuroku, 1861

The non-integrability of some system of fifth-order partial differential equations describing surfaces containing 6 families of circles
Apr. 2013, Kiyoomi Kataoka, Nobuko Takeuchi, joint, RIMS Kokyuroku Bessatsu, B40

A system of fifth-order partial differential equations describing a surface which contains many circles
Apr. 2013, Kiyoomi Kataoka,Nobuko Takeuchi, joint, Bulletin des Sciences Mathématiques, Elsevier, 137, 3

A system of fifth-order nonlinear partial differential equations and a surface which contains many circles
Jan. 2011, Kiyoomi Kataoka, Nobuko Takeuchi, joint, RIMS Kokyuroku, 1723

Surfaces which contain many circles
Dec. 2008, Nobuko Takeuchi, only, Geometry and topology of Caustics, Banach center publications, 82, 1

Circular surfaces
Jun. 2007, Shyuichi Izumiya, Kentaro Saji, Nobuko Takeuchi, joint, Advances Geometry, 7, 2

New special curves and developable surfaces
Apr. 2004, Shyuichi Izumiya, Nobuko Takeuchi, joint, Turkish Journal of Mathematics, 28, 2

Singularities of line congruences
Nov. 2003, Shyuichi Izumiya, Kentaro Saji, Nobuko Takeuchi, joint, Proceedings of the Royal Society of Edinburgh. Section A, 133, 6

Special curves and ruled surfaces
Jan. 2003, Shyuichi Izumiya, Nobuko Takeuchi, joint, Beitrage zur Algebra und Geometrie. Contributions to Algebra and Geometry, 44, 1

Generic properties of helices and Bertrand curves
Nov. 2002, Shyuichi Izumiya, Nobuko Takeuchi, joint, Journal of Geometry, 74

Singularities of ruled surfaces in R³
Jan. 2001, Shyuichi Izumiya, Nobuko Takeuchi, joint, Mathematical Proceedings of Cambridge Philosphical Society, 130, 1

Cyclides
Feb. 2000, Nobuko Takeuchi, only, Hokkaido Mathematical Journal, 29, 1

A parametrization of a torus which contains six circles through each point
Aug. 1998, Hitoshi Kubosawa, Nobuko Takeuchi, joint, Bulletin of Tokyo Gakugei University. Series IV,Mathematics and natural sciences, 50

A sphere can be characterized as a smooth ovaloid which contains one circle through each point
Mar. 1994, Koichi Ogiue, Nobuko Takeuchi, joint, Journal of Geometry, 49

Hulahoop surfaces
Mar. 1993, Koichi Ogiue, Nobuko Takeuchi, joint, Journal of Geometry, 46

A geometric construction of a torus which contains five circles through each point
Aug. 1992, Koichi Ogiue, Nobuko Takeuchi, joint, Bulletin of Tokyo Gakugei University. Series IV,Mathematics and natural sciences, 44

A note on Ogiue-Takagi conjecture on a chracterization of Euclidean 2-spheres
Mar. 1992, Reiko Miyaoka, Nobuko Takeuchi, joint, Kyushu University Series A Mathematics, Faculty of Science, Kyushu University, 46, 1

A surface which contains planar geodesics II
Mar. 1991, Nobuko Takeuchi, only, Bulletin of Tokyo Gakugei University. Series IV,Mathematics and natural sciences, 43

A surface which contains helical geodesics
Aug. 1990, Nobuko Takeuchi, Michiko Tamura, joint, Bulletin of Tokyo Gakugei University. Series IV,Mathematics and natural sciences, 42

A sphere as a surface which contains many circles II
Mar. 1989, Nobuko Takeuchi, only, Journal of Geometry, 34

A surface which contains planar geodesics
Aug. 1988, Nobuko Takeuchi, only, Geometriae Dedicata, 27, 2

A closed surface of genus one in E³ cannot contain seven circles through each point
May 1987, Nobuko Takeuchi, only, Proceedings of the American Mathematical Society, 100, 1

A sphere as a surface which contains many circles
Jun. 1985, Nobuko Takeuchi, only, Journal of Germetry, 24