Timeline for Almost geodesic on non complete manifolds
Current License: CC BY-SA 4.0
6 events
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Nov 22, 2020 at 0:56 | history | edited | Tim Carson | CC BY-SA 4.0 |
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Nov 22, 2020 at 0:52 | comment | added | Tim Carson | That's a good way of phrasing the connection between the intuition and the concrete math. | |
Nov 21, 2020 at 9:10 | vote | accept | Andrea Marino | ||
Nov 21, 2020 at 9:10 | comment | added | Andrea Marino | Thanks. The second example is conceptually cristalline: if we were on the circle (embedded in R^2), the acceleration along the curve would be calculated by the ordinary second derivative and then *projecting * to the tangent space to $S^1$. The latter makes the acceleration zero. If, instead, you inflate the circle, you don't project anymore, and you get a big acceleration, no matter what you do. | |
Nov 20, 2020 at 16:58 | history | edited | Tim Carson | CC BY-SA 4.0 |
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Nov 20, 2020 at 16:46 | history | answered | Tim Carson | CC BY-SA 4.0 |