Rigidity results confirm properties of equivariant harmonic maps in low rank Grassmannians, indicating unique geometric behavior.
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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Koga et al. (2026) studied this question.
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