Equivariant Embeddings of Kälerian Symmetric Spaces

2025/10/31 by J.-H. Eschenburg, Eschenburg, J. -H., K. K. Santos +3
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2511.00312

Abstract

In this article we investigate some properties of equivariant embeddings of a symmetric Kählerian manifold. Motivated by a theorem of Cartan and Wallach on equivariant embeddings of symmetric spaces we characterize these embeddings in the special case of \mathbbCPⁿ. Further, we verify that if a equivariant embedding has parallel plurimean curvature then it is the extrinsically symmetric one.

Citations

• Symmetric Spaces with Rectangular Unit Lattices, Revisited

Related

• Equivariant embeddings of Hermitian symmetric spaces
• Kähler duality and projective embeddings
• Equivariant realizations of Hermitian symmetric space of noncompact type
• Embeddings from noncompact symmetric spaces to their compact duals
• G-equivariant embedding theorems for CR manifolds of high codimension