Equivariant embeddings of Hermitian symmetric spaces
L. Clozel
TL;DR
This paper proves that equivariant, holomorphic embeddings of Hermitian symmetric spaces are necessarily totally geodesic, except for certain exceptional cases, advancing understanding of their geometric structure.
Contribution
It establishes a general rigidity result for equivariant holomorphic embeddings of Hermitian symmetric spaces, excluding some exceptional types.
Findings
Equivariant holomorphic embeddings are totally geodesic.
The result applies to all non-exceptional Hermitian symmetric spaces.
Exceptional types are excluded from the rigidity result.
Abstract
We prove that equivariant, holomorphic embeddings of Hermitian symmetric spaces are totally geodesic (when the image is not of exceptional type).
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometry and complex manifolds · Geometric and Algebraic Topology