... > topology > algebraic topology > manifold > differentiable manifold > Riemannian manifold > negative curvature

... > geometry > topological space > manifold > differentiable manifold > Riemannian manifold > negative curvature

geometry > differential geometry > differentiable manifold > Riemannian manifold > negative curvature

topology > differential topology > differentiable manifold > Riemannian manifold > negative curvature

geometry > differential geometry > Riemannian geometry > Riemannian manifold > negative curvature