| 標題：The star mean curvature flow on 3-sphere and hyperbolic 3-space |
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| 學年 | 108 |
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| 學期 | 2 |
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| 出版（發表）日期 | 2020/06/01 |
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| 作品名稱 | The star mean curvature flow on 3-sphere and hyperbolic 3-space |
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| 作品名稱（其他語言） | |
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| 著者 | Hsiao-Fan Liu |
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| 單位 | |
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| 出版者 | |
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| 著錄名稱、卷期、頁數 | Asian Journal of Mathematics 24(3), p.483–500 |
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| 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. |
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| 關鍵字 | moving frames;Hodge star MCF;Gross–Pitaevskii equation;periodic Cauchy problems;Bäcklund transformation |
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| 語言 | 英文 |
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| ISSN | 1945-0036 |
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| 期刊性質 | 國外 |
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| 收錄於 | SCI; |
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| 產學合作 | |
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| 通訊作者 | |
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| 審稿制度 | 否 |
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| 國別 | 美國 |
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| 公開徵稿 | |
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| 出版型式 | ,電子版,紙本 |
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| 相關連結 | |
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| SDGs | |
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