Some Properties on Mean Curvatures of Codimension : One Taut Foliations

Key Points

• The central aim is to explore the relationship between mean curvature functions and changes in Riemannian metrics for codimension-one taut foliations.
• Analyzed codimension-one foliation on manifold M
• Examined relationships between Riemannian metrics and mean curvature functions
• Discussed characterization of admissible vector fields
• Established a direct relationship between changes in metrics and mean curvature
• Identified specific consequences for taut foliations
• Provided insights into admissible vector fields related to mean curvature