- #1
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Recently I asked a question about the curvature of the universe.
https://www.physicsforums.com/threads/constant-curvature-and-about-its-meaning.977841/
In that context I want to ask something else.
Is this curvature (##\kappa##) different than the Gaussian Curvature ? Like it seems that we are using ##\kappa# for only homogeneous and isotropic spaces.
I guess the crucial point is being "constant " right. The "constant" implies homogeneity and isotropy ?
We can have curvature for any space but only the constant curvature ones will be homogeneous and isotropic ?
https://www.physicsforums.com/threads/constant-curvature-and-about-its-meaning.977841/
In that context I want to ask something else.
Is this curvature (##\kappa##) different than the Gaussian Curvature ? Like it seems that we are using ##\kappa# for only homogeneous and isotropic spaces.
I guess the crucial point is being "constant " right. The "constant" implies homogeneity and isotropy ?
We can have curvature for any space but only the constant curvature ones will be homogeneous and isotropic ?