The star mean curvature flow on 3-sphere and hyperbolic 3-space
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 )