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相山 玲子(アイヤマ レイコ; Aiyama, Reiko)

所属
数理物質系
職名
講師
研究キーワード
微分幾何学
研究課題
4次元空間内の曲面論 -- (現在)/
複素空間形内のラグランジアン曲面2002 -- (現在)日本学術振興会/若手研究(B)2,400,000円
負曲率多様体への調和写像と曲面2000 -- (現在)日本学術振興会/奨励研究(A)2,200,000円
定曲率空間形内の平均曲率一定曲面1998 -- (現在)日本学術振興会/奨励研究(A)2,000,000円
学歴
-- 1986筑波大学 第一学群 自然学類・数学卒業
-- 1990筑波大学 数学研究科 数学中退
取得学位
博士(数学)筑波大学
教育学修士筑波大学
所属学協会
-- (現在)日本数学会
論文
  • Minimal Legendrian surfaces in the five-dimensional Heisenberg group
    Aiyama Reiko; Akutagawa Kazuo
    Geomery and Topology of Manifolds: 10th China-Japan Conference 2014, Springer Proceedings in Mathematics & Statistics 154/154/pp.1-13, 2016-06
  • Semiumbilic points for minimal surfaces in Euclidean 4-space
    Aiyama Reiko; Akutagawa Kazuo
    Geometriae Dedicata/170(1)/pp.1-7, 2014-06
  • Lagrangian surfaces with circle symmetry in the complex two-space
    Aiyama R
    MICHIGAN MATHEMATICAL JOURNAL/52(3)/pp.491-506, 2004-01
  • The Dirichlet problem at infinity for harmonic map equations arising from constant mean curvature surfaces in the hyperbolic 3-space
    Reiko Aiyama; Kazuo Akutagawa
    Calculus of Variations and Partial Differential Equations/14/p.399-428, 2002-01
  • Totally real surfaces in the complex 2-space.
    Reiko Aiyama
    Steps in Differential Geometry, Proceedings of the Colloquium on Differential Geometry, 25-30 July, 2000, Debrecen, Hungary/p.15-22, 2001-01
  • Lagrangian surfaces in the complex 2-space
    Reiko Aiyama
    Proceedings of the fifth international workshop on Differential Geometry, held at Kyungpook National University, Korea/5/p.25-29, 2001-01
  • Constant mean curvature surfaces in the hyperbolic 3-space and harmonic maps.
    Reiko Aiyama
    Proceedings of the fifth international workshop on Differential Geometry, held at Kyungpook National University, Korea/5/p.31-39, 2001-01
  • A construction of Lagrangian surfaces in the complex 2-space
    Reiko Aiyama
    数理解析研究所講究録, 2001-01
  • Kenmotsu type representation formula for surfaces with prescribed mean curvature in the hyperbolic 3-space(jointly worked)
    相山 玲子
    Journal of the Mathematical Society of Japan/52/p.877-898, 2000-01
  • Kenmotsu type representation formula for spacelike surfaces with prescribed mean curvature in the de Sitter 3-space (共著)
    相山 玲子
    Tsukuba Journal of Mathematics/24/p.189-196, 2000-01
  • Kenmotsu type representation formula for surfaces with prescribed mean curvature in the hyperbolic 3-space(共著)
    相山 玲子
    Journal of the Mathematical Society of Japan/p.Journal of the Mathemati, 2000-01
  • A global correspondence between CMC-surfaces in S^3 and pairs of non-conformal harmonic maps into S^2(共著)
    相山 玲子
    Proceedings of the American Mathematical Society/128/p.939-941, 2000-01
  • Minimal maps between the hyperbolic disc and generalized Gauss maps of maximal surfaces in the anti-de sitter 3-space(共著)
    相山 玲子
    Tohoku Mathematical Journal/52/p.415-429, 2000-01
  • Kenmotsu type representation formula for surfaces with prescribed mean curvature in the 3-sphere(共著)
    相山 玲子
    Tohoku Mathematical Journal/52/p.95-1, 2000-01
  • Representation formulas for surfaces in H^3(-C^2)and harmonic maps arising from CMC surfaces. (jointly worked)
    相山 玲子
    Harmonic Morphisms, Harmonic maps and Related Topics(ed. by J. C. Wood et al. )Pitman Research Notes in Math., 1999-01
  • Kenmotsu-Bryant type representation formulas for constant mean curvature surfaces in H^3(C^2)and S^3_1(C^2).(共著)
    相山 玲子
    Annals of Global Analysis and Geometry/17(1)/p.49-75, 1998-01
  • Kenmotsu-Bryant type representation formula for constant mean curvature spacelike surfaces in H^3_1(-C^2) (共著)
    相山 玲子
    Differential Geometry and its applicaltions/(9)/p.251-272, 1998-01
  • 3次元定曲率空間形内の平均曲率一定曲面の表現公式
    相山 玲子
    数理解析研究所講究録/p.995, 1997-01
  • Compact space-like m-submanifolds in a pseudo-Riemannian sphere S_p^{m+p}(C)
    相山 玲子
    Tokyo J.Math./18(1)/p.81-90, 1995-01
  • The Generalized Gauss map of a space-like submanifold with parallel mean curvature vector in a pseudo-Euclidean space
    相山 玲子
    Japanese Journal of Mathematics/20(1)/p.93-114, 1994-01
  • On the Gauss map of complete space-like hypersurfaces of constant mean curvature in Minkowski space
    相山 玲子
    Tsukuba J. Math./16(2)/p.353-361, 1992-01
  • Complete space-like hypersurfaces with constant mean curvature in a lorentz space form of dimension 4. (共著)
    相山 玲子
    Kodai Math. J./15(3)/p.375-386, 1992-01
  • On complete space-like surfaces with constant mean curvature in a Lorentzian 3-space form
    相山 玲子
    Tsukuba Journal of Mathematics/15/p.1, 1991-01
  • A characterization of real hypersurfaces of type C, D and E of a complex projective space(with Hisao Nakagawa and Young Jin Suh)
    相山 玲子
    Journal of the Korean Mathematical Society/27/p.1, 1990-01
  • Semi-Kaehlerian submanifolds of an indefinite complex space form(jointly worked)
    相山 玲子
    Kodai Mathematical Journal/11/p.3, 1988-01
more...
担当授業科目
2020-10 -- 2021-02幾何学概論II筑波大学
2020-04 -- 2020-08幾何学特別研究IIIA筑波大学
2020-10 -- 2021-02幾何学セミナー筑波大学
2020-04 -- 2020-08幾何学セミナー筑波大学
2020-04 -- 2020-08幾何学特別研究VB筑波大学
2020-04 -- 2020-08幾何学特別研究IB筑波大学
2020-10 -- 2021-02数学セミナー筑波大学
2020-04 -- 2020-08数学セミナー筑波大学
2020-10 -- 2021-02幾何学特別研究IVB筑波大学
2020-10 -- 2021-02幾何学特別研究VA筑波大学
more...

(最終更新日: 2017-06-20)