- 2014 - 2018 Research for duality and transformations of generic conformally flat hypersurfaces.
- 2010 - 2015 Research on classical differential geometry from modern view points and its applications
- 2009 - 2014 Research on conformally flat hypersurfaces
- 2007 - 2009 Radial curvature and topology of Riemannian manifolds
- 2006 - 2009 Classical differential geometry from the modern viewpoint and its application
- 2004 - 2007 Geometric structures on submanifolds in space forms and differential equations related to their structures.
- 2003 - 2005 Classical differential geometry from the modern viewpoint and its applications
- 2002 - 2002 非線形微分方程式の特異解の統一的研究
- 2000 - 2002 Modern Research of Affine and Projective Geometry and its Applications
- 2000 - 2002 Research on Sphere Theorems and Related Properties of Spheres
- 2000 - 2001 Studies on singular solutions of nonlinear differential equations.
- 1997 - 1999 Research for manifolds with conformal structure
- 1996 - 1996 正曲率及びワイル共形曲率と多様体の空間
- 1995 - 1995 非線形微分方程式の数理解析
- 1994 - 1994 非線形微分方程式の解とその漸近挙動
- 1994 - 1994 多様体の曲率と大域的性質
- 1994 - 1994 リーマン幾何学の部分多様体論への応用
- 1993 - 1994 Geometry of Manifolds and Global Analysis
- 1993 - 1993 非負曲率を持つリーマン多様体の研究
- 1992 - 1993 A study on pairings
- 1991 - 1992 Application of Fractional Calculus to Degenerate Hyperbolic Equations
- 1991 - 1991 非線形発展方程式の関数解析的研究
- 1990 - 1990 極小部分多様体の研究
- 1989 - 1989 場の理論における数学的構造の解明
- 1989 - 1989 多様体の構造の研究と整数論への応用
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