具有Reeb不变Ricci张量的复双曲二次曲面的实超曲面

IF 0.6 4区数学 Q3 MATHEMATICS

Revista De La Union Matematica Argentina Pub Date : 2021-11-08 DOI:10.33044/revuma.1975

Doo Hyun Hwang, Hyunjin Lee, Y. Suh

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引用次数: 0

摘要

．我们首先给出复二次曲面Q M∗= so02, M / so2som中实超曲面M的Reeb不变Ricci张量的概念，它由L ξ Ric = 0定义，其中Ric表示M在Q M∗中的Ricci张量，L ξ表示沿Reeb向量场ξ = - JN方向的李氏导数。然后给出复双曲二次曲面Q m∗= so02,m / so2som中具有Reeb不变Ricci张量的实超曲面的完全分类。

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Real hypersurfaces in the complex hyperbolic quadric with Reeb invariant Ricci tensor

. We ﬁrst give the notion of Reeb invariant Ricci tensor for real hypersurfaces M in the complex quadric Q m ∗ = SO 02 ,m /SO 2 SO m , which is deﬁned by L ξ Ric = 0, where Ric denotes the Ricci tensor of M in Q m ∗ , and L ξ the Lie derivative along the direction of the Reeb vector ﬁeld ξ = − JN . Next we give a complete classiﬁcation of real hypersurfaces in the complex hyperbolic quadric Q m ∗ = SO 02 ,m /SO 2 SO m with Reeb invariant Ricci tensor.

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来源期刊

Revista De La Union Matematica Argentina MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista de la Unión Matemática Argentina is an open access journal, free of charge for both authors and readers. We publish original research articles in all areas of pure and applied mathematics.