Lie derivatives of sections of natural vector bundles

Key Points

• Lie derivatives express time derivative relationships in natural vector bundles, revealing deeper geometric connections.
• The study computes derivatives using adapted non-autonomous vector fields, enhancing understanding of vector bundle behavior.
• The analysis builds on established lemmas concerning flows and fields, expanding upon classic results in differential geometry.
• These findings could inspire new applications in theoretical physics and advanced mathematics, unlocking complex geometrical frameworks.