A Weighted Llarull Type Theorem and its applications
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911277268336640 |
|---|---|
| author | Zhou, Linfeng Zhu, Guangrui |
| author_facet | Zhou, Linfeng Zhu, Guangrui |
| contents | This paper generalizes Llarull's classical scalar curvature rigidity theorem to the setting of weighted manifolds with P-scalar curvature. More precisely, we prove the refinement of Llarull's theorem for P-scalar curvature, which is similar to Listing's work \cite{listing2010scalar}. As an application, we establish a Llarull type theorem in the form of $\mathbb{S}^k\times\mathbb{T}^{n-k}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12517 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Weighted Llarull Type Theorem and its applications Zhou, Linfeng Zhu, Guangrui Differential Geometry This paper generalizes Llarull's classical scalar curvature rigidity theorem to the setting of weighted manifolds with P-scalar curvature. More precisely, we prove the refinement of Llarull's theorem for P-scalar curvature, which is similar to Listing's work \cite{listing2010scalar}. As an application, we establish a Llarull type theorem in the form of $\mathbb{S}^k\times\mathbb{T}^{n-k}$. |
| title | A Weighted Llarull Type Theorem and its applications |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2511.12517 |