当前位置: X-MOL 学术RACSAM › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
An optimized Chen first inequality for special slant submanifolds in Lorentz-Sasakian space forms
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas ( IF 2.9 ) Pub Date : 2021-06-22 , DOI: 10.1007/s13398-021-01089-1
O. Postavaru , I. Mihai

Curvature invariants are the most natural invariants, with a wide application in science and engineering. A known condition for a Riemannian manifold to admit a minimal immersion in any Euclidean space is \(Ric\le 0\). In order to find other obstructions, one needs to introduce new types of Riemannian invariants, different in nature from classical ones (Chen in pseudo-riemannian geometry, \(\delta \)-invariants and applications, World Scientific, Singapore, 2011). The Chen first inequality for slant submanifolds in Sasakian space forms was established in Carriazo (Kyungpook Math J 39(2):465–476, 1999). In this article, we derive the Chen first inequality for special contact slant submanifolds in Lorentz-Sasakian space forms.



中文翻译:

Lorentz-Sasakian空间形式中特殊倾斜子流形的优化陈一阶不等式

曲率不变量是最自然的不变量,在科学和工程中有着广泛的应用。黎曼流形允许在任何欧几里得空间中最小浸入的已知条件是\(Ric\le 0\)。为了找到其他障碍,需要引入新类型的黎曼不变量,其本质上不同于经典的黎曼不变量(Chen 在伪黎曼几何中,\(\delta\) -不变量和应用,世界科学,新加坡,2011)。在 Carriazo (Kyungpook Math J 39(2):465–476, 1999) 中建立了 Sasakian 空间形式中倾斜子流形的 Chen 第一个不等式。在本文中,我们推导出 Lorentz-Sasakian 空间形式中特殊接触倾斜子流形的 Chen 一阶不等式。

更新日期:2021-06-22
down
wechat
bug