Totally geodesic immersions into Grassmannians (harmonic maps into Grassmann manifolds II)
2026 年 78 巻 1 号 p. 1-35
詳細
2026 年 78 巻 1 号 p. 1-35
We define a totally geodesic immersion of irreducible type from a symmetric space of compact type into a Grassmannian and classify such immersions. Any totally geodesic immersion is related to a homogeneous vector bundle with the canonical connection and the eigenspaces of the Laplace operator acting on the space of sections of the bundle.
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