期刊論文
| 學年 | 108 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2020-06-01 |
| 作品名稱 | The star mean curvature flow on 3-sphere and hyperbolic 3-space |
| 作品名稱（其他語言） | |
| 著者 | Hsiao-Fan Liu |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Asian Journal of Mathematics 24(3), p.483–500 |
| 摘要 | The Hodge star mean curvature flow on a 3‑dimensional Riemannian or pseudo-Riemannian manifold is one of nonlinear dispersive curve flows in geometric analysis. Such a curve flow is integrable as its local differential invariants of a solution to the curve flow evolve according to a soliton equation. In this paper, we show that these flows on a 3‑sphere and 3‑dimensional hyperbolic space are integrable, and describe algebraically explicit solutions to such curve flows. Solutions to the (periodic) Cauchy problems of such curve flows on a 3‑sphere and 3‑dimensional hyperbolic space and its Bäcklund transformations follow from this construction. |
| 關鍵字 | moving frames;Hodge star MCF;Gross–Pitaevskii equation;periodic Cauchy problems;Bäcklund transformation |
| 語言 | en |
| ISSN | 1945-0036 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/120965 ) |