Differentiable manifolds
Smooth or analytic manifold… to Sphere
- Smooth or analytic manifold (with boundary and corners)
- Smooth map between manifolds
- Smooth immersion
- Smooth embedding
- Product of manifolds
- Disjoint union of manifolds
- Interior of a manifold
- Boundary of a manifold
- Tangent bundle
- Tangent map
- Pullback of vector fields
- Lie bracket of vector field
- Jacobi/Leibniz identity
- Integral curves
- Local existence of integral curves
- Uniform time existence
- Uniqueness of integral curves
- Lie group
- Lie algebra of a Lie group
- Sphere
Closed interval to 0-manifolds are discrete spaces
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