Equivariant Embeddings of Kälerian Symmetric Spaces
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917053678485504 |
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| author | Eschenburg, J. -H. Santos, K. K. Tribuzy, R. |
| author_facet | Eschenburg, J. -H. Santos, K. K. Tribuzy, R. |
| contents | 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 $\mathbb{CP}^n$. Further, we verify that if a equivariant embedding has parallel plurimean curvature then it is the extrinsically symmetric one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00312 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivariant Embeddings of Kälerian Symmetric Spaces Eschenburg, J. -H. Santos, K. K. Tribuzy, R. Differential Geometry Primary: 53C35, 53C40, Secondary: 22E47 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 $\mathbb{CP}^n$. Further, we verify that if a equivariant embedding has parallel plurimean curvature then it is the extrinsically symmetric one. |
| title | Equivariant Embeddings of Kälerian Symmetric Spaces |
| topic | Differential Geometry Primary: 53C35, 53C40, Secondary: 22E47 |
| url | https://arxiv.org/abs/2511.00312 |