Research interests

  1. Surface theory:minimal surfaces, CMC surfaces, stability, deformations

    holomorphic curves, harmonic maps

  2. Hypersurface theory:Dupin hypersurfaces,isoparametric hypersurfaces

    classification, orbit geometry, Lie contact geometry

  3. Special geometry: holonomy groups, special Lagrangian submanifolds

    G2 metrics, Ricci flat metrics, calibrations

  4. Theory of integrable systems related with surface theory and hypersurface theory.

    Periodic Toda equations, the wave equations

  5. G-structures:Lie contact structure,Cartan-Tanaka theory

    Cartan-Tanaka connection, curvature, graded Lie algebras of the 2nd kind.