Rigidity of equivariant harmonic maps from the sphere into Grassmannians

We prove the rigidity results for G -equivariant harmonic maps of the sphere S m into real or complex Grassmannians of low rank for G = SO ( m + 1 ) , Spin ( m + 1 ) , G 2 (when m = 6 ) and Spin ( 7 ) (when m = 7 ).

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Publication Details

Journal
Differential Geometry and its Applications
Published
2026-06-09
DOI
https://doi.org/10.1016/j.difgeo.2026.102403
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

Rigidity of equivariant harmonic maps from the sphere into Grassmannians

Masaro Takahashi, Isami Koga, Yasuyuki Nagatomo
Differential Geometry and its Applications
Geometric Analysis and Curvature Flows
article

Rigidity of equivariant harmonic maps from the sphere into Grassmannians

Masaro Takahashi, Isami Koga, Yasuyuki Nagatomo
article en

Abstract

We prove the rigidity results for G -equivariant harmonic maps of the sphere S m into real or complex Grassmannians of low rank for G = SO ( m + 1 ) , Spin ( m + 1 ) , G 2 (when m = 6 ) and Spin ( 7 ) (when m = 7 ).

Differential Geometry and its ApplicationsVol. 104
Meiji University (JP), National Institute of Technology, Kurume College (JP), Kyushu International University (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 5%
Geometric Analysis and Curvature Flows
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