A tt^*-bundle associated with a harmonic map from a Riemann surface into a sphere
A tt^*-bundle associated with a harmonic map from a Riemann surface into a sphere
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与从黎曼曲面到球体的调和映射相关的 tt^*-bundle
DOI：
10.1016/j.difgeo.2012.04.003
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Katsuhiro
中科院分区：
文献类型：
--
作者：
Kurosu;Sanae and Moriya;Katsuhiro
通过从黎曼曲面到n维球面的调和映射构造了一个tt - w -束。这一束是具有Willmore连接的四元数线束的高维模拟。在结构上，平面连接被纤维状复杂结构分解成四个部分。
A tt⁎-bundle is constructed by a harmonic map from a Riemann surface into an n-dimensional sphere. This tt⁎-bundle is a high-dimensional analogue of a quaternionic line bundle with a Willmore connection. For the construction, a flat connection is decomposed into four parts by a fiberwise complex structure.