CR-submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric metric connection

We define a quarter symmetric metric connection in a nearly trans-hyperbolic sasakian manifold and we study CR- submanifolds of a nearly trans-hyperbolic sasakian manifold with a quarter symmetric metric connection. Moreover, we discuss the parallel distribution relating to \xi-vertical CR-submanifolds of a nearly trans-hyperbolic sasakian manifold with a quarter symmetric metric connection本文在殆拟双曲萨萨克流形（nearly trans-hyperbolic Sasakian manifold）上定义了四分之一对称度量联络（quarter symmetric metric connection），并研究了配备该联络的殆拟双曲萨萨克流形的CR子流形（CR-submanifolds）。此外，本文还探讨了配备该四分之一对称度量联络的殆拟双曲萨萨克流形的ξ-垂直CR子流形（ξ-vertical CR-submanifolds）所关联的平行分布。