The rigidity statement in the Horowitz-Myers conjecture
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910030636253184 |
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| author | Brendle, S. Hung, P. K. |
| author_facet | Brendle, S. Hung, P. K. |
| contents | In this paper, we give an alternative proof of the Horowitz-Myers conjecture in dimension $3 \leq N \leq 7$. Moreover, we show that a metric that achieves equality in the Horowitz-Myers conjecture is locally isometric to a Horowitz-Myers metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16812 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The rigidity statement in the Horowitz-Myers conjecture Brendle, S. Hung, P. K. Differential Geometry In this paper, we give an alternative proof of the Horowitz-Myers conjecture in dimension $3 \leq N \leq 7$. Moreover, we show that a metric that achieves equality in the Horowitz-Myers conjecture is locally isometric to a Horowitz-Myers metric. |
| title | The rigidity statement in the Horowitz-Myers conjecture |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2504.16812 |