Null Sasaki eta-Einstein Structures in Five Manifolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2009
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| _version_ | 1866913249009598464 |
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| author | Cuadros, Jaime |
| author_facet | Cuadros, Jaime |
| contents | We study null Sasakian structures in dimension five. First, based on a result due to Kollár [Ko], we improve a result by Boyer, Galicki and Matzeu in [BGM] and prove that simply connected manifolds diffeomorphic to $# k(S^2\times S^3)$ admit null Sasaki $η$-Einstein structures if and only if $k\in \{3,..., 21\}$. After this, we determine the moduli space of simply connected null Sasaki $η$-Einstein structures. This is accomplished using information on the moduli of lattice polarized K3 surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0909_4581 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | Null Sasaki eta-Einstein Structures in Five Manifolds Cuadros, Jaime Differential Geometry Algebraic Geometry 53C25 We study null Sasakian structures in dimension five. First, based on a result due to Kollár [Ko], we improve a result by Boyer, Galicki and Matzeu in [BGM] and prove that simply connected manifolds diffeomorphic to $# k(S^2\times S^3)$ admit null Sasaki $η$-Einstein structures if and only if $k\in \{3,..., 21\}$. After this, we determine the moduli space of simply connected null Sasaki $η$-Einstein structures. This is accomplished using information on the moduli of lattice polarized K3 surfaces. |
| title | Null Sasaki eta-Einstein Structures in Five Manifolds |
| topic | Differential Geometry Algebraic Geometry 53C25 |
| url | https://arxiv.org/abs/0909.4581 |