- 2015 - 2020 Mathematical models on one-dimensional elastic bodies in Riemannian manifolds and their applications
- 2014 - 2020 曲線の運動方程式のリーマン幾何学的摂動
- 2011 - 2015 Study on one-dimensional elastic bodies with a focus on Kirchhoff elastic rods in space forms
- 2010 - 2015 Research on classical differential geometry from modern view points and its applications
- 2010 - 2014 Principal curvatures and topology of codimension-one isometric immersions of complete manifolds into the spaces of constant holomorphic curvatures.
- 2010 - 2012 Stability and bifurcation for periodic minimal surfaces and surfaces with constant mean curvature, and applications to other fields
- 2007 - 2010 Fusion of geometry and the theory of integrable systems
- 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.
- 2002 - 2002 Riemann多様体の中のKirchhoff弾性棒について
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