复双曲双平面格拉斯曼型实超曲面上的Reeb lie导数

Pub Date : 2023-01-01 DOI:10.2298/fil2303915p

Eunmi Pak, G. Kim

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引用次数: 0

摘要

在复两平面格拉斯曼曲面G2(Cm+2) = SU2+m/S(U2?Um)中，已知实超曲面满足条件(L?(k)?R?)Y = (l ? r ?)在G2(Cm+2)中，Y局部与完全测地线G2(Cm+1)周围的管的开口部分相等。本文将复双曲型两平面Grassmannian SU2,m/S(U2?Um)作为一个不存在空间，利用上述条件给出了SU2,m/S(U2?Um)上的Hopf实超曲面的完全分类。

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Reeb lie derivatives on real hypersurfaces in complex hyperbolic two-plane Grassmannians

In complex two-plane Grassmannians G2(Cm+2) = SU2+m/S(U2?Um), it is known that a real hypersurface satisfying the condition (L?(k)?R?)Y = (L?R?)Y is locally congruent to an open part of a tube around a totally geodesic G2(Cm+1) in G2(Cm+2). In this paper, as an abient space, we consider a complex hyperbolic two-plane Grassmannian SU2,m/S(U2?Um) and give a complete classification of Hopf real hypersurfaces in SU2,m/S(U2?Um) with the above condition.

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