Timeline for What is so geometric about symplectic geometry?
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| Jul 4 at 14:11 | comment | added | user1247 | Sorry if this is a stupid question (I'm a physicist, not a mathematician), but can you explain why we say that a geometry is symplectic rather than that we can just define both a metric and a cometric? As a concrete example, if I consider a 2D Euclidean geometry, I can define both the ordinary inner product, as well as a symplectic inner product, and each might be separately useful in different ways on the same geometry. What is different from this viewpoint and a geometry itself "being" symplectic? | |
| Mar 24 at 3:17 | history | answered | Mozibur Ullah | CC BY-SA 4.0 |