$L^2$-decomposition of the second fundamental form of a hypersurface in the study of the general relativistic vacuum constraint equations
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914829463191552 |
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| author | Stepanov, Sergey E. Tsyganok, Irina I. |
| author_facet | Stepanov, Sergey E. Tsyganok, Irina I. |
| contents | In present article, we consider a $L^2$-orthogonal decomposition of the second fundamental form of a closed spacelike hypersurface in a Lorentzian spacetime and its applications to the study of some algebraic-differential properties of the general relativistic vacuum constraint equations. For the study we will use the well-known Ahlfors Laplacian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04760 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $L^2$-decomposition of the second fundamental form of a hypersurface in the study of the general relativistic vacuum constraint equations Stepanov, Sergey E. Tsyganok, Irina I. Differential Geometry In present article, we consider a $L^2$-orthogonal decomposition of the second fundamental form of a closed spacelike hypersurface in a Lorentzian spacetime and its applications to the study of some algebraic-differential properties of the general relativistic vacuum constraint equations. For the study we will use the well-known Ahlfors Laplacian. |
| title | $L^2$-decomposition of the second fundamental form of a hypersurface in the study of the general relativistic vacuum constraint equations |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2406.04760 |