Mathematics
Within mathematics, isotropy has a few different meanings:
- Isotropic manifolds
- Some manifolds are isotropic, meaning that the geometry on the manifold is the same regardless of direction. A similar concept is homogeneity. A manifold can be homogeneous without being isotropic. But if it is inhomogeneous, it is necessarily anisotropic.
- Isotropic quadratic form
- A quadratic form q is said to be isotropic if there is a non-zero vector v such that q(v)=0.
- Isotropic coordinates on an Isotropic chart for Lorentzian manifolds.
Read more about this topic: Isotropy
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—Walter Reisch (1903–1963)
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—George Bernard Shaw (1856–1950)