| Deformation of the weighted scalar curvature | |
|---|---|
| 學年 | 112 |
| 學期 | 1 |
| 出版（發表）日期 | 2023-11-04 |
| 作品名稱 | Deformation of the weighted scalar curvature |
| 作品名稱（其他語言） | |
| 著者 | Pak Tung Ho, Jinwoo Shin |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 19, 087 |
| 摘要 | Inspired by the work of Fischer-Marsden [Duke Math. J. 42 (1975), 519-547], we study in this paper the deformation of the weighted scalar curvature. By studying the kernel of the formal L2ϕ -adjoint for the linearization of the weighted scalar curvature, we prove several geometric results. In particular, we define a weighted vacuum static space, and study locally conformally flat weighted vacuum static spaces. We then prove some stability results of the weighted scalar curvature on flat spaces. Finally, we consider the prescribed weighted scalar curvature problem on closed smooth metric measure spaces. |
| 關鍵字 | weighted scalar curvature;smooth metric measure space;vacuum static space |
| 語言 | en |
| ISSN | 1815-0659 |
| 期刊性質 | 國外 |
| 收錄於 | SCI Scopus |
| 產學合作 | |
| 通訊作者 | Pak Tung Ho |
| 審稿制度 | 是 |
| 國別 | UZB |
| 公開徵稿 | |
| 出版型式 | ,電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/125097 ) |
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