• Jul 10, 2025 Local Diffeomorphism and q ∈ N be points in these manifolds. A map φ: U → V is a local diffeomorphism from a neighborhood U of p in M to a neighborhood V of q in N if: 1. φ is smooth: All partial derivatives of φ exist and are continuous. 2. φ is a bijection: φ is one-to-one and onto (each point in V ma By Zena Glover
