具有循环平行* -Ricci张量的π π和π h2中的实超曲面

Pub Date : 2021-09-27 DOI:10.1556/012.2021.58.3.1501

Yaning Wang, Wenjie Wang

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引用次数: 0

摘要

在本文中，我们证明了复投影平面(2p)或复双曲平面(h2)上的实超曲面的∗-Ricci张量是循环平行的，当且仅当该超曲面为(a)型。我们发现了一些三维实超曲面具有不消失且不平行的∗-Ricci张量是循环平行的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Real Hypersurfaces in ℂP 2 and ℂH 2 with Cyclic Parallel ∗-Ricci Tensor

In this paper, we prove that the ∗-Ricci tensor of a real hypersurface in complex projective plane ℂP 2 or complex hyperbolic plane ℂH 2 is cyclic parallel if and only if the hypersurface is of type (A). We find some three-dimensional real hypersurfaces having non-vanishing and non-parallel ∗-Ricci tensors which are cyclic parallel.

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