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. |