20 citations · 87 across the 22 of their papers we have counts for
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Projectively flat connections and flat connections on homogeneous spaces
Hajime Urakawa
We show a correspondence between the set of all G-invariant projectively flat connections on a homogeneous apace , and the one of all {G}^~-invariant flat connections on a h…
Classifications and Isolation Phenomena of Bi-Harmonic Maps and Bi-Yang-Mills Fields
Toshiyuki Ichiyama, Jun-ichi Inoguchi, Hajime Urakawa
Classifications of all biharmonic isoparametric hypersurfaces in the unit sphere, and all biharmonic homogeneous real hypersurfaces in the complex or quaternionic projective spaces…
Removable singularities and bubbling of harmonic maps and biharmonic maps
Nabumitsu Nakauchi, Hajime Urakawa
By using Moser's iteration technique, we show some removable singularity theorem of the tension field for biharmonic maps into manifolds of non-positive curvature, and the bubbling…
Biharmonic maps into compact Lie groups and the integrable systems
Hajime Urakawa
The reduction of biharmonic maps equation in terms of the Maurer-Cartan form for all smooth map of any compact Riemannian manifolds into a compact Lie group with bi-invariant Riema…