nLab 9-manifold

Idea

An 9-manifold is a manifold of dimension 9. (Generally a topological manifold, but it can be specified to a PL manifold or a smooth manifold.)

Examples

• 9-sphere
• real projective space$\mathbb{R}P^9$
• U(3)
• Spinʰ(4)

Related concepts

manifolds in low dimension:

• 2-manifolds

• 3-manifolds

• 4-manifolds

• 5-manifolds

• 6-manifolds

• 7-manifolds

• 8-manifolds

• 9-manifolds

• 10-manifolds

• 11-manifolds

• 12-manifolds

• 13-manifolds

• 14-manifolds

• 15-manifolds

• 16-manifolds

Applications of 9-manifolds:

• D=9 supergravity