黎曼空间中半对称射影的相互联络及其对偶联络的一些属性(英文)

Some Properties of Dual and Mutual Connection of Projective Semi-symmetric Connection on a Riemannian Manifold

在射影半对称联络为半对称非度量联络基础上定义了一个射影半对称联络的对偶联络和相互联络,研究了相关性质.发现了射影半对称联络的对偶联络属性和共轭对称条件,对一个射影半对称联络的相互联络和对偶相互联络的属性进行了研究.

A dual connection and a mutual connection of a projective semi- symmetric connection are newly defined based on the fact that a projective semi-symmetric connection is a semi-symmetric non-metric connec- tion. The discovered properties of a dual connection of the projective semi-symmetric connection and the condi- tion for conjugate symmetry and the properties of the mutual connection and the dual mutual connection of a projective semi-symmetric connection are discovered.