Characterization of Kenmotsu manifolds with a generalized symmetric metric connection

Key Points

• The research aims to analyze the geometric features of Kenmotsu manifolds through a specific metric connection.
• Utilized a generalized symmetric metric connection to characterize Kenmotsu manifolds.
• Investigated curvature properties related to the selected metric connection.
• Constructed an example of a Kenmotsu manifold with Q tensor and Weyl conformal curvature tensor using partial differential equations.
• Identified specific curvature properties of Kenmotsu manifolds linked to the generalized symmetric metric connection.
• Constructed a valid example demonstrating the connection with Q tensor and Weyl curvature, showcasing unique geometric characteristics.