A construction of curvature-adapted hypersurfaces in the product of symmetric spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912301769031680 |
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| author | Koike, Naoyuki |
| author_facet | Koike, Naoyuki |
| contents | In this paper, we give a construction of curvature-adapted hypersurfaces in the product $G_1/K_1\times G_2/K_2$ of (Riemannian) symmetric spaces $G_i/K_i$ ($i=1,2$). By this construction, we obtain many examples of curvature-adapted hypersurfaces in $G_1/K_1\times G_2/K_2$. Also, we calculate the eigenvalues of the shape operator and the normal Jacobi operator of the curvature-adapted hypersurfaces obtained by this construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23917 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A construction of curvature-adapted hypersurfaces in the product of symmetric spaces Koike, Naoyuki Differential Geometry In this paper, we give a construction of curvature-adapted hypersurfaces in the product $G_1/K_1\times G_2/K_2$ of (Riemannian) symmetric spaces $G_i/K_i$ ($i=1,2$). By this construction, we obtain many examples of curvature-adapted hypersurfaces in $G_1/K_1\times G_2/K_2$. Also, we calculate the eigenvalues of the shape operator and the normal Jacobi operator of the curvature-adapted hypersurfaces obtained by this construction. |
| title | A construction of curvature-adapted hypersurfaces in the product of symmetric spaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2503.23917 |