Timeline for Is this a manifold of bounded geometry?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Sep 2, 2021 at 19:54 | vote | accept | Shaq155 | ||
| Sep 1, 2021 at 10:47 | comment | added | Shaq155 | Thank you again for your answer! Could you explain how the positive injectivity radius implies $d_{δ\overline{E}}(x,y_{n})>r_{b}$ for all $n$? | |
| Aug 31, 2021 at 9:54 | history | edited | user44172 | CC BY-SA 4.0 |
Added an answer to the new question
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| Aug 30, 2021 at 8:52 | comment | added | user44172 | Yes. Compact manifolds are automatically of bounded geometry, and therefore all the relevant quantities are bounded away from zero (in the case of the norm of the covariant derivative of the curvature tensor, bounded from above). | |
| Aug 30, 2021 at 8:49 | comment | added | Shaq155 | You are using here that the injectivity radius on a compact manifold is bounded below by a positive constant, right? | |
| Aug 30, 2021 at 6:42 | comment | added | user44172 | Oh, dear! Yes, it should be $M$ instead of $X$. | |
| Aug 29, 2021 at 21:35 | comment | added | Shaq155 | Thank you for your answer! Is it correct that $X=M$ in your text? | |
| Aug 29, 2021 at 20:53 | history | answered | user44172 | CC BY-SA 4.0 |