Projective vector fields on Exponential (α, β)-metrics

Key Points

• The research aims to explore the characteristics of projective vector fields in a specific class of (α, β)-metrics.
• Analyzed projective algebra associated with (α, β)-metrics
• Investigated conditions under which exponential (α, β)-metrics admit projective vector fields
• Utilized Lie algebra concepts to assess vector field properties.
• Demonstrated that projective vector fields in the studied metrics are conformal with respect to the Riemannian metric α.
• Found that if a certain condition is met, the S-curvature vanishes, implying significant geometric implications.