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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
2
votes
When are fiber bundles reversible?
In terms of Seifert fiber spaces, there are two examples when you consider torus bundles over $S^1$ among the ones which use periodic mapping classes: These are $(No,1|(1,0))$ and $(No,1|(1,1))$ which …
4
votes
Circle bundles over $RP^2$
I think that they have Seifert fiber space presentation as:
$(On,1|(1,b))$.
Or
$(On,1|(1,b),(a_1,b_1),...,(a_r,b_r))$, if you allow an orbifold with cone points in $RP^2$.
You can look at the case …
2
votes
Undergraduate differential geometry texts
commentaries like without much formalism like those to the Thorpe's book, I think, are really discouraging for everyone, then students don't want to do complex calculations 'cuz they are ugly... Nah! …