Timeline for Open Book Decompositions of M^3's : Finding the Projection Map (Hope in Coordinates) in an Abstract Open Book
Current License: CC BY-SA 3.0
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| Jul 28, 2013 at 11:09 | review | Close votes | |||
| Jul 29, 2013 at 14:11 | |||||
| Jul 28, 2013 at 7:02 | comment | added | Benoît Kloeckner | In fact, the only answer I can think of is to use coordinates $(p,\theta)\in S\times [0,1]$, where $(p,1)\sim (f(p),0)$, and $(p,\theta)\sim (p,\theta')$ whenever $p\in\partial S$. | |
| Jul 28, 2013 at 7:02 | comment | added | Guest | Hmm, good point, let me think it through. | |
| Jul 28, 2013 at 6:58 | comment | added | Benoît Kloeckner | I do not quite see what you expect. For a coordinate expression, you need obviously to use local coordinates, and choosing them according to the OBD will give you a trivial expression $(x,y,\theta)\mapsto \theta$. Coordinate-free, what could you possibly want that you did not already explained? Maybe motivation would help understand the question. | |
| Jul 28, 2013 at 6:13 | history | edited | Ricardo Andrade |
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| Jul 28, 2013 at 4:58 | review | First posts | |||
| Jul 28, 2013 at 6:14 | |||||
| Jul 28, 2013 at 4:40 | history | asked | Guest | CC BY-SA 3.0 |