Conjugate radius of open manifolds
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866916055635460096 |
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| author | Ge, Jian Zhang, Shimeng |
| author_facet | Ge, Jian Zhang, Shimeng |
| contents | In this short note, we establish an upper bound for the conjugate radius of an open $n$-dimensional Riemannian manifold under a scalar curvature lower bound and a bottom-of-spectrum upper bound. As a consequence, if $λ_{0}(M)=0$ and scalar curvature $\ge n(n-1)$, then the conjugate radius $\le π$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28379 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conjugate radius of open manifolds Ge, Jian Zhang, Shimeng Differential Geometry In this short note, we establish an upper bound for the conjugate radius of an open $n$-dimensional Riemannian manifold under a scalar curvature lower bound and a bottom-of-spectrum upper bound. As a consequence, if $λ_{0}(M)=0$ and scalar curvature $\ge n(n-1)$, then the conjugate radius $\le π$. |
| title | Conjugate radius of open manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2605.28379 |