Research Keywords 【 display / non-display

  • Riemannian submanifolds, pseudo-Riemannian geometry, quaternionic differential geometry, homogeneous spaces, curvature tensors

Research Pursuits 【 display / non-display

  • (1) The construction and the classification of the conformally flat homogeneous Lorentzian manifolds: we investigate the structure of the conformally flat homogeneous Lorentzian manifolds according to the form of the Ricci operators and study the construction and the classification of such manifolds. For almost all types of the Ricci operators, we have solved the construction and the classification problem. I talked our results in the VI International Meeting on Lorentzian Geometry, Granada(Spain) . The paper was published in the Proceedings.

    (2) I made the fundamental theory on the totally complex submanifolds in a quaternionic manifold , in particular , in a quaternion projective space. I study the higher-dimensional version of the theory on surfaces of a four-dimensional sphere from the view point of quaternionic holomorophic geometry by Ferus et al

Campus Career 【 display / non-display

  • Graduate School of Humanities and Sciences, Research Organization, the Core Section The Natural/Applied Sciences Division, Professor

  • Faculty of Core Research Natural Science Division, Professor

  • Graduate School of Humanities and Sciences, Education Organization, Doctral Program Advanced Sciences

  • Graduate School of Humanities and Sciences, Education Organization, Doctral Program Advanced Sciences

  • Graduate School of Humanities and Sciences, Education Organization, Master's Program Advanced Sciences

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Books 【 display / non-display

  • Recent progress in differential geometry and its related fields

    A remark on complex Lagrangian cones in H^n, World Scientific, 2011.05, Norio Ejiri and Kazumi Tsukada, T.Adachi,H.Hashimoto, and M.Hristov, Book, 151--157

Papers 【 display / non-display

  • Classification of symmetric submanifolds of symmetric spaces

    Sugaku expositions, AMS, 2007.12, TSUKADA Kazumi, NAITOH Hiroo, Survey, Research paper (scientific journal), Capital Author

  • Fundamental theorem for totally complex submanifolds

    Hokkaido Math.J., 2007.08, TSUKADA Kazumi, Original, Research paper (scientific journal), Single Author

  • Three-dimensional conformally flat homogeneous Lorentzian manifolds

    Journal of Physics A: Mathematical and Theoretical, 2007.01, HONDA Kyoko, TSUKADA Kazumi, Original, Research paper (scientific journal), Capital Author

  • Isotropic Kaeher immersions into a complex quadric

    Natural Science Report of the Ochanomizu University, 2006.09, TSUKADA Kazumi, Original, Research paper (bulletin of university, research institution), Single Author

  • Another natural lift of a K\\"ahler Submanifold of a quaternionic K\\"ahler manifold to the twistor space

    Tokyo J. Math., 2005.06, EJIRI Norio, TSUKADA Kazumi, Original, Research paper (scientific journal), Capital Author

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Presentations 【 display / non-display

  • Transversally complex submanifolds of a quaternion projective space

    TSUKADA Kazumi, International, 2016.07, The 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, Daegu, Korea, Invited, Main Speaker

  • Totally complex submanifolds of a complex Grassmann manifold of 2-planes

    塚田 和美, Domestic, 2015.02, 微分幾何学ワークショップ「部分多様体の幾何学とリー理論」, 大阪市立大学, 大阪市立大学数学研究所-慶北国立大学HGRG, Invited, Main Speaker

  • Totally complex submanifolds of a complex Grassmann manifold of 2-planes

    TSUKADA Kazumi, Domestic, 2014.09, Not Invited, Main Speaker

  • Conformally flat homogeneous Lorentzian manifolds

    TSUKADA Kazumi, International, 2013.03, Workshop on Lorentzian homogeneous spaces, The Complutense University, Madrid, M.C.Lopez(The Complutense University)et al, Invited, Main Speaker

  • The quaternionic differential geometry of totally complex submanifolds in a qaternion projective space

    TSUKADA Kazumi, Domestic, 2012.06, Meeting on Submanifolds and Quaternion structure, Kyoto University RIMS, Kazuyuki Hasegawa(Kanazawa University), Invited, Main Speaker

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