In this paper, first we introduce a new notion of generalized Killing–Ricci tensor for a real hypersurface M in complex hyperbolic two-plane Grassmannians \(SU_{2,m}/S(U_{2}{\cdot }U_{m})\). Next we give a complete classification for Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians \(SU_{2,m}/S(U_{2}{\cdot }U_{m})\) with generalized Killing–Ricci tensor.

中文翻译：

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复杂双曲两平面Grassmannian中实际超曲面的广义Killing-Ricci张量

在本文中，我们首先介绍一个新的概念一般化杀伤-里奇张量为一个真正的超曲面中号在复双曲两平面Grassmann流形\（SU_ {2，M} / S（U_ {2} {\ CDOT} U_ {米}）\）。接下来，我们给出具有广义Killing–Ricci张量的复双曲两平面Grassmannian \（SU_ {2，m} / S（U_ {2} {\ cdot} U_ {m}）\）中的Hopf实超曲面的完整分类。