Schrödinger flow of maps into symplectic manifolds
Schrödinger flow of maps into symplectic manifolds
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DOI：
10.1007/bf02901957
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发表时间：
1998-07
期刊：
影响因子：
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通讯作者：
Weiyue Ding;Youde Wang
中科院分区：
文献类型：
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作者：
Weiyue Ding;Youde Wang
提出了Schrödinger流的定义。结果表明，铁磁链的流动实际上是Schrödinger映射入tos2的流动，一维Schrödinger映射入Kahler流形的初值问题存在唯一的局部光滑解。当目标为常曲率Kähler流形时，证明了一维Schrödinger流具有唯一的全局光滑解。
The definition of Schrödinger flow is proposed. It is indicated that the flow of ferromagnetic chain is actually Schrödinger flow of maps intoS2, and that there exists a unique local smooth solution for the initial value problem of one-dimensional Schrödinger flow of maps into Kahler manifolds. In case the targets are Kähler manifolds with constant curvature, it is proved that one-dimensional Schrödinger flow admits a unique global smooth solution.