ON QUARTER-SYMMETRIC NON-METRIC CONNECTION

摘要

S.Golab (1975) introduced the idea of quarter-symmetric metric connection and studied their properties (Golab, 1975). Joydeep Sengupta and B.Biswas (2003) defined a quater-symmetric non-metric connection on a Sasakian manifold (Sengupta and Biswas, 2003). The present paper deals with different geometrical properties of the Hermite manifold equipped with the quarter-symmetric non-metric connection. In the end, we studied the properties of the contravariant almost analytic vector field with quarter-symmetric non-metric connection.