What question did this study set out to answer?

The central aim is to explore the relationship between mean curvature functions and changes in Riemannian metrics for codimension-one taut foliations.

April 1, 2026Open Access

Some Properties on Mean Curvatures of Codimension : One Taut Foliations

源押源一押切

Puntos clave

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

Resumen

Given a codimension-one foliation of a not necessarily closed manifold M. We show a relation between the changes of Riemannian metrics and the mean curvature functions, and derive some consequences when F is a taut foliation. A relation between these results and a characterization of admissible vector fi elds is also discussed.

Preguntar a la IA

Me gusta

Guardar

Ver artículo completo