Examples of manifolds

sage.categories.examples.manifolds.Example

An example of a manifold: the \(n\)-dimensional plane.

This class illustrates a minimal implementation of a manifold.

EXAMPLES:

sage: from sage.categories.manifolds import Manifolds
sage: M = Manifolds(QQ).example(); M
An example of a Rational Field manifold: the 3-dimensional plane

sage: M.category()
Category of manifolds over Rational Field

We conclude by running systematic tests on this manifold:

sage: TestSuite(M).run()
sage.categories.examples.manifolds.Plane

An example of a manifold: the \(n\)-dimensional plane.

This class illustrates a minimal implementation of a manifold.

EXAMPLES:

sage: from sage.categories.manifolds import Manifolds
sage: M = Manifolds(QQ).example(); M
An example of a Rational Field manifold: the 3-dimensional plane

sage: M.category()
Category of manifolds over Rational Field

We conclude by running systematic tests on this manifold:

sage: TestSuite(M).run()