CONFORMALLY FLAT 3-MANIFOLDS WITH CONSTANT SCALAR CURVATURE

QING-MING CHENGa

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CONFORMALLY FLAT 3-MANIFOLDS WITH CONSTANT SCALAR CURVATURE

机译：具有恒定标量曲率的共形三流形

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摘要

We classify complete conformally flat three dimensional Riemannian manifolds with constant scalar curvature and constant squared norm of Ricci curvature tensor by applying the Generalized Maximum Principle due to H.Omori.

机译：我们通过应用由于H.Omori产生的广义最大原理，对具有恒定标量曲率和Ricci曲率张量的恒定平方范数的完全保形平坦的三维黎曼流形进行分类。

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来源
《Journal of the Mathematical Society of Japan》 |1999年第1期|209-226|共18页
作者
QING-MING CHENGa;
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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类数学;
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1. On the isolation phenomena of locally conformally flat manifolds with constant scalar curvature - Submanifolds versions [J] . Cheng Xiuxiu, Hu Zejun Journal of Mathematical Analysis and Applications . 2018,第2期

机译：恒定标量曲率局部扁平歧管的隔离现象 - 子曲线型号
2. LOCALLY CONFORMALLY FLAT MANIFOLDS WITH CONSTANT SCALAR CURVATURE [J] . He Huiya, Li Haizhong Proceedings of the American Mathematical Society . 2018,第12期

机译：具有恒定标量曲率的局部共形扁平歧管
3. LOCALLY CONFORMALLY FLAT MANIFOLDS WITH CONSTANT SCALAR CURVATURE [J] . He Huiya, Li Haizhong Proceedings of the American Mathematical Society . 2018,第12期

机译：具有恒定标量曲率的局部共形扁平歧管
4. Computing and Visualizing Constant-Curvature Metrics on Hyperbolic 3-Manifolds with Boundaries [C] . Xiaotian Yin, Miao Jin, Feng Luo, International Symposium on Visual Computing;ISVC 2008 . 2008

机译：具有边界的双曲3-流形上的常曲率度量的计算和可视化
5. Nonuniqueness of constant scalar curvature metrics in a conformal class. [D] . Cohn, Zachary. 2009

机译：保形类中恒定标量曲率度量的非唯一性。
6. ON RIEMANNIAN MANIFOLDS WITH CONSTANT SCALAR CURVATURE ADMITTING A CONFORMAL TRANSFORMATION GROUP [O] . Kentaro Yano 1966

机译：具有恒定标量曲率的Rimannian流形并允许保形变换群
7. Conformally flat 3-manifolds with constant scalar curvature II [O] . Qing-Ming CHENG, Susumu ISHIKAWA, Katsuhiro SHIOHAMA 2001

机译：具有恒定标量曲率II的共形平坦的3歧管

CONFORMALLY FLAT 3-MANIFOLDS WITH CONSTANT SCALAR CURVATURE

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