具有半对称度量联络的常截面曲率Kenmotsu统计流形中统计子流形的Casorati不等式
Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant -Sectional Curvature with Semi-Symmetric Metric Connection.
作者信息
Decu Simona, Vîlcu Gabriel-Eduard
机构信息
Department of Applied Mathematics, Bucharest University of Economic Studies, 6 Piaţa Romană, 010374 Bucharest, Romania.
Romanian Academy, Center of Mountain Economy (CE-MONT), "Costin C. Kiriţescu" National Institute of Economic Research, 13 Calea 13 Septembrie, 030508 Bucharest, Romania.
出版信息
Entropy (Basel). 2022 Jun 8;24(6):800. doi: 10.3390/e24060800.
In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely the normalized δ-Casorati curvatures and the scalar curvature of statistical submanifolds in Kenmotsu statistical manifolds of constant ϕ-sectional curvature that are endowed with semi-symmetric metric connection. Furthermore, we investigate the equality cases of these inequalities. We also describe an illustrative example.
在本文中，我们证明了内蕴曲率不变量与外蕴曲率不变量之间的一些不等式，即归一化的δ - 卡索拉蒂曲率与赋予半对称度量联络的常ϕ - 截面曲率的肯莫茨统计流形中统计子流形的标量曲率之间的不等式。此外，我们研究了这些不等式的等式情形。我们还给出了一个示例。
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