On the existence and properties of solutions of the generalized Jang equation with respect to asymptotically anti-de Sitter initial data
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911718902333440 |
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| author | Meco, Benjamin |
| author_facet | Meco, Benjamin |
| contents | We provide a rigorous analysis of the generalized Jang equation in the asymptotically anti-de Sitter setting modelled on constant time slices of anti-de Sitter spacetimes in dimensions $3\leq n \leq 7$ for a very general class of asymptotics. Potential applications to spacetime positive mass theorems for asymptotically anti-de Sitter initial data sets are discussed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_18076 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the existence and properties of solutions of the generalized Jang equation with respect to asymptotically anti-de Sitter initial data Meco, Benjamin Differential Geometry General Relativity and Quantum Cosmology Analysis of PDEs 53C21, 83C05, 83C30 We provide a rigorous analysis of the generalized Jang equation in the asymptotically anti-de Sitter setting modelled on constant time slices of anti-de Sitter spacetimes in dimensions $3\leq n \leq 7$ for a very general class of asymptotics. Potential applications to spacetime positive mass theorems for asymptotically anti-de Sitter initial data sets are discussed. |
| title | On the existence and properties of solutions of the generalized Jang equation with respect to asymptotically anti-de Sitter initial data |
| topic | Differential Geometry General Relativity and Quantum Cosmology Analysis of PDEs 53C21, 83C05, 83C30 |
| url | https://arxiv.org/abs/2409.18076 |