Isotropic manifold
From Wikipedia, the free encyclopedia
Not to be confused with isotropic subspace, a quadratic space containing a non-zero vector v for which q(v) is 0.
In mathematics, an isotropic manifold is a manifold in which the geometry doesn't depend on directions. A simple example is the surface of a sphere.
A homogeneous space is a similar concept. A homogeneous space can be non-isotropic (for example, a flat torus), in the sense that an invariant metric tensor on a homogeneous space may not be isotropic.
 |
This Differential geometry related article is a stub. You can help Wikipedia by expanding it. |
 |
This topology-related article is a stub. You can help Wikipedia by expanding it. |
