具有常标量曲率的π P2和π H2中的实超曲面

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2022-04-18 DOI:10.1515/advgeom-2021-0039

Yaning Wang

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引用次数: 2

摘要

摘要在本文中，复射影平面上的Hopf超曲面ℂP2（c）或复双曲平面ℂ对具有恒定标量曲率的H2（c）进行了分类。对于中的非Hopf超曲面ℂP2（c）在标量曲率r不变的情况下，证明了如果结构向量场是Ricci算子的特征向量，则r＝7c/2或r＝3c/2。此外，这两种情况完全是在附加条件下确定的。

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 ℂP2 and ℂH2 with constant scalar curvature

Abstract In this paper, Hopf hypersurfaces in a complex projective plane ℂP2(c) or a complex hyperbolic plane ℂH2(c) with constant scalar curvature are classified. For a non-Hopf hypersurface in ℂP2(c) with constant scalar curvature r, it is proved that if the structure vector field is an eigenvector of the Ricci operator, then either r = 7c/2 or r = 3c/2. Moreover, these two cases are determined completely under an additional condition.

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.