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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.21114 |
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| _version_ | 1866908988016164864 |
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| author | Ye, Guoran |
| author_facet | Ye, Guoran |
| contents | We construct new examples of special Lagrangian submanifolds $Y\subset \mathbf{C}^{n+1}$, $n\geq 3$ in a neighborhood of the origin, with an isolated singularity, but with cylindrical tangent cone $C\times\mathbf{R}$. Moreover, $Y\setminus\{0\}$ is connected while $(C\setminus\{0\})\times\mathbf{R}$ is not. Such examples exist, for example, when $C$ is a pair of transverse planes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_21114 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Special Lagrangians with Cylindrical Tangent Cones Ye, Guoran Differential Geometry 53A10 (Primary) 53C40, 53D12 (Secondary) We construct new examples of special Lagrangian submanifolds $Y\subset \mathbf{C}^{n+1}$, $n\geq 3$ in a neighborhood of the origin, with an isolated singularity, but with cylindrical tangent cone $C\times\mathbf{R}$. Moreover, $Y\setminus\{0\}$ is connected while $(C\setminus\{0\})\times\mathbf{R}$ is not. Such examples exist, for example, when $C$ is a pair of transverse planes. |
| title | Special Lagrangians with Cylindrical Tangent Cones |
| topic | Differential Geometry 53A10 (Primary) 53C40, 53D12 (Secondary) |
| url | https://arxiv.org/abs/2604.21114 |