nLab 10-manifold

Idea

An 10-manifold is a manifold of dimension 10. (Generally a topological manifold, but it can be specified to a PL manifold or a smooth manifold.)

Examples

• 10-sphere
• real projective space$\mathbb{R}P^10$
• complex projective space$\mathbb{C}P^5$
• O(5)
• SO(5)
• Spin(5)$\cong$Sp(2)

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

Application of 10-manifolds:

• D=10 super Yang-Mills theory
• D=10 supergravity