Timeline for Maximally symmetric affine manifold
Current License: CC BY-SA 4.0
5 events
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| Nov 22, 2018 at 11:33 | history | edited | Ben McKay | CC BY-SA 4.0 |
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| Nov 22, 2018 at 10:14 | comment | added | Ben McKay | For surfaces, you can find a comprehensive discussion of the homogeneous affine surfaces (first classified by Opozda) in arxiv.org/abs/1512.05515. They indeed have to arise from constant curvature metrics just exactly when their affine symmetries have dimension 3 or more. | |
| Nov 22, 2018 at 10:05 | comment | added | Ben McKay | Careful: affine space has a symmetry group of dimension $n(n+1)$, which is the maximal possible dimension of symmetry group of an affine connection. (See Richard Sharpe's book Differential Geometry for proof). | |
| Nov 22, 2018 at 6:59 | history | edited | YCor |
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| Nov 22, 2018 at 2:31 | history | asked | Dox | CC BY-SA 4.0 |