论文标题
逆转扭曲产品空间中的曲率
Curvatures in contravariant warped product space
论文作者
论文摘要
在本文中，我们在contravariant翘曲产品空间中介绍了截面曲率$（m = m_ {1} \ times_ {f_ {1}} m_ {2}，π，π，g^{f_ {1}}）$，其中$π=π=π_1+ν__{1} 1} 1}π______2$）。之后，我们发现$ m $的截面曲率为$ m_ {1} $和$ m_ {2} $是正截面曲率的泊松歧管。在$ m $的双空间中，我们介绍了空，空格般的，及时的$ 1- $表单，然后通过使用这些表格，定义了Qualar Curvature。最后，作为一个示例，我们获得了$ m_ {1} = h_ {1}^2 $，$ m_ {2} = s_ {0}^2，e_ {2}^2 $和$ m $的Qualar Curvature。
In this article, we introduce the sectional curvature in contravariant warped product space $(M= M_{1}\times_{f_{1}}M_{2},Π,g^{f_{1}})$, where $Π=Π_1+ν_{1}Π_2$). After that we find the sectional curvature of $M$ for which $M_{1}$ and $M_{2}$ are Poisson manifolds of positive sectional curvatures. In dual space of $M$, we introduce the notion of null, spacelike, timelike $1 -$ forms and then by using these forms, qualar curvature is defined. Finally, as an examples we obtain the sectional curvatures for $M_{1} = H_{1}^2$, $M_{2} = S_{0}^2 , E_{2}^2$ and qualar curvature for $M$.
