List of manifolds

From Wikipedia, the free encyclopedia
  (Redirected from Categories of manifolds)
Jump to: navigation, search

This is a list of particular manifolds, by Wikipedia page. See also list of geometric topology topics. For categorical listings see Category:Manifolds and its subcategories.

Generic families of manifolds[edit]

Lie groups provide several interesting families. See Table of Lie groups for examples. See also: List of simple Lie groups and List of Lie group topics.

Manifolds of a specific dimension[edit]

1-manifolds[edit]

2-manifolds[edit]

3-manifolds[edit]

For more examples see 3-manifold.

4-manifolds[edit]

For more examples see 4-manifold.

Special types of manifolds[edit]

Manifolds related to spheres[edit]

Special classes of Riemannian manifolds[edit]

Categories of manifolds[edit]

Manifolds definable by a particular choice of atlas[edit]

Manifolds with additional structure[edit]

Infinite-dimensional manifolds[edit]