... > topology > algebraic topology > manifold > differentiable manifold > Lie group > fundamental vector field

... > geometry > topological space > manifold > differentiable manifold > Lie group > fundamental vector field

geometry > differential geometry > differentiable manifold > Lie group > fundamental vector field

topology > differential topology > differentiable manifold > Lie group > fundamental vector field

algebra > group theory > topological group > Lie group > fundamental vector field

geometry > differential geometry > symplectic geometry > fundamental vector field

geometry > topological space > fiber bundle > fundamental vector field