NAGATOMO Yasuyuki
   Department   Undergraduate School  , School of Science and Technology
   Position   Professor
Research Period 2008~2010
Research Topic Moduli spaces of vector bundles and a generalization of harmonic maps
Research Type KAKENHI Research
Consignor Japan Society for the Promotion of Science
Research Program Type Grant-in-Aid for Scientific Research (C)
KAKENHI Grant No. 20540081
Responsibility Representative Researcher
Representative Person NAGATOMO Yasuyuki
Collaborative Researcher TAKAHASHI Masaro
Details Using a characterization of harmonic maps into Grassmannians by linear equations, we construct isoparametric functions on symmetric spaces. Moreover, these are transformed into isoparametric functions on spheres by Radon transform. We describe a moduli space of harmonic maps between complex projective spaces with constant energy densities by linear algebraic datum. We also describe a moduli spaces of holomorphic maps from Hermitian symmetric spaces into complex Grassmannian manifolds in a similar method.