Conditions of parallelism of *-Ricci tensor of three dimensional real hypersurfaces in non-flat complex space forms
Conditions of parallelism of *-Ricci tensor of three dimensional real hypersurfaces in non-flat complex space forms
复制标题
非平复空间形式三维实超曲面*-Ricci张量的并行性条件
DOI：
10.11650/tjm/7814
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
K. Panagiotidou
中科院分区：
文献类型：
--
作者：
Georgios Kaimakamis;K. Panagiotidou
研究了非平坦复空间形式中$^{*}$-Ricci张量满足平行条件的三维真实的超曲面.更确切地说，在复双曲空间的情形下，推广了关于具有零、半平行和伪平行$^{*}$-Ricci张量的真实的超曲面的已有结果.此外，还给出了非平坦复空间形式中真实的超曲面的$^{*}$-Ricci张量的$\xi$-平行性的新结果。
This paper focuses on the study of three dimensional real hypersurfaces in non-flat complex space forms whose $^{*}$-Ricci tensor satisfies conditions of parallelism. More precisely, extension of existing results concerning real hypersurfaces with vanishing, semi-parallel and pseudo-parallel $^{*}$-Ricci tensor in case of ambient space being the complex hyperbolic space are provided. Furthermore, new results concerning $\xi$-parallelism of $^{*}$-Ricci tensor of real hypersurfaces in non-flat complex space forms are presented.