In Riemannian geometry, including applications to general relativity, a (Riemannian) symmetric space is a certain kind of homogeneous space in the theory of Lie groups. A geometric characterization is that it is a Riemannian manifold such that for every point there exists an isometry fixing that point and inducing minus the identity on the tangent space at that point. A Lie group characterisation is as G/H where G is a Lie group and H a subgroup that is open in the fixed set of an automorphism of G of order 2. There is a classification of such spaces, by Elie Cartan.
This is a disambiguation page — a navigational aid which lists other pages that might otherwise share the same title. If an article link referred you here, you might want to go back and fix it to point directly to the intended page.
Example Usage of Symmetric
evolsen: Today is full of Symmetric self indulgance, narcisistic revelry and nebulous synonomy.
Mohmmd: I was in twitter web and noticed that #Tweetie app on my mac did NOT get all the tweets from the web where it should be Symmetric in both!!
sret: @DelBoy1203 Strange that it isn't Symmetric around 12 hours, but those really are the numbers.
