论文标题
对爱因斯坦扭曲产品空间的研究以及四分之一的对称连接
Study on Einstein Warped Product space with Quarter Symmetric Connection
论文作者
论文摘要
我们研究了爱因斯坦通过四分之一对称连接的扭曲空间。结果，首先，我们在四分之一对称连接方面找到了曲率，RICCI和标量张量的基本结果。此外，我们证明了一些与二阶季度对称连接相对应的结果。最后，我们证明，如果$ m $是爱因斯坦扭曲的空间，相对于四分之一对称连接，并且翘曲功能满足某些条件，那么$ m $就只是Riemannian产品空间。
We study Einstein warped space with a quarter symmetric connection. As a result, first, we find basic results on curvature, Ricci and scalar tensors with respect to the quarter symmetric connection. Moreover, we prove some results corresponding to second order quarter symmetric connection. Finally, we prove that if $M$ is an Einstein warped space with nonpositive scalar curvature and compact base with respect to quarter symmetric connection and the warping function satisfy some condition then $M$ is simply a Riemannian product space.
