Hypersurfaces with isometric Reeb flow in complex hyperbolic two-plane Grassmannians

Hypersurfaces with isometric Reeb flow in complex hyperbolic two-plane Grassmannians
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DOI:
10.1016/j.aam.2013.01.001
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发表时间:
2013-04
期刊:
Adv. Appl. Math.
影响因子:
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通讯作者:
Y. Suh
Y. Suh
中科院分区:
其他
文献类型:
--
作者:
Y. Suh

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对复双曲两平面Grassmannian SU 2,m/S(U 2 <$Um),m <$2中具有等距Reeb流的真实的超曲面进行了分类.每一个都可以被描述为在SU 2,m/S(U2 <$Um)中的全测地SU 2,m−1/S(U2 <$Um−1)上的管,或者是在无穷远处的中心是奇异的时球。
We classify the real hypersurfaces with isometric Reeb flow in complex hyperbolic two-plane Grassmannians SU2,m/S(U2⋅Um), m⩾2. Each can be described as a tube over a totally geodesic SU2,m−1/S(U2⋅Um−1) in SU2,m/S(U2⋅Um) or a horosphere whose center at infinity is singular.