Timeline for Sectional curvature of leaves of foliation
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Nov 28, 2018 at 17:22 | comment | added | hakunamatata | @Raziel yes exactly what I thought. | |
Nov 28, 2018 at 7:14 | comment | added | Raziel | @daene, the Hopf fibration has totally geodesic leaves, but the leaves are flat and the total space is not. | |
Nov 28, 2018 at 2:30 | comment | added | Deane Yang | If the leaves are totally geodesic, the sectional curvatures will be the same. If $s\ne 0$, then there are values of $n$ and $k$ for which this is also a necessary condition. | |
Nov 27, 2018 at 9:20 | comment | added | hakunamatata | Of course. By the way, is there any result pointing to the fact when my question has a positive answer? Just curious! | |
Nov 26, 2018 at 18:44 | comment | added | Raziel | If you liked it, then feel free to accept the answer :) | |
Nov 26, 2018 at 17:13 | comment | added | hakunamatata | Thanks. the first example is a nice one. | |
Nov 26, 2018 at 8:07 | history | answered | Raziel | CC BY-SA 4.0 |