請使用永久網址來引用或連結此文件:
https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/125097
|
| 題名: | Deformation of the weighted scalar curvature |
| 作者: | Ho, Pak tung |
| 關鍵詞: | weighted scalar curvature;smooth metric measure space;vacuum static space |
| 日期: | 2023-11-04 |
| 上傳時間: | 2024-03-01 12:05:29 (UTC+8) |
| 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. |
| 關聯: | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 19, 087 |
| DOI: | 10.3842/SIGMA.2023.087 |
| 顯示於類別: | [應用數學與數據科學學系] 期刊論文
|
文件中的檔案:
| 檔案 |
描述 |
大小 | 格式 | 瀏覽次數 |
|---|
| index.html | | 0Kb | HTML | 55 | 檢視/開啟 |
|
在機構典藏中所有的資料項目都受到原著作權保護.
|