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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