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Generalized Killing–Ricci Tensor for Real Hypersurfaces in Complex Hyperbolic Two-Plane Grassmannians
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2021-03-19 , DOI: 10.1007/s00009-021-01724-6
Young Jin Suh

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:

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。

更新日期:2021-03-21
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