论文标题
Einstein双弯曲产品歧管具有半对称度量连接
Einstein doubly warped product manifolds with a semi-symmetric metric connection
论文作者
论文摘要
在本文中，我们研究了具有半对称度量连接的双层扭曲产品歧管。我们根据双翘曲产品歧管的组件的曲率来得出具有半对称度量连接的双向扭曲产品歧管的曲率。我们还证明，双向扭曲的产品歧管成为扭曲的产品歧管的必要条件。对于半对称度量的连接，我们获得了爱因斯坦双重扭曲的产物歧管和类似爱因斯坦的双层扭曲产物歧管的结果。
In this paper, we study the doubly warped product manifolds with semisymmetric metric connection. We derive the curvatures formulas for doubly warped product manifold with semi-symmetric metric connection in terms of curvatures of components of doubly warped product manifolds. We also prove the necessary and sufficient condition for a doubly warped product manifold to be a warped product manifold. We obtain some results for Einstein doubly warped product manifold and Einstein-like doubly warped product manifold of class A with respect to a semi-symmetric metric connection.
