3 ms·
Symplectic geometry is a collection of facts having to do with symplectic manifolds. Just like euclidean geometry is a collection of facts having to do euclidea
by throwlaplace 7y ago
Symplectic geometry is a collection of facts having to do with symplectic manifolds. Just like euclidean geometry is a collection of facts having to do euclidean manifolds.
That's the way in which terms like "____ geometry" are defined and understood.
- ajkjk 7y agoI understand that well, but I don't like it. Math for its own sake with no collection of reality alienates a huge category of people who might be interested in it if it was better explained.
- Koshkin 7y ago> a huge category And I thought category theory was "math for its own sake"!
- adyavanapalli 7y agoThe intended audience of AMS's Graduate Student Section is mathematics graduate students. Nevertheless, it's hard to say whether symplectic manifolds has any easily explained analogy for lay audiences. The subject originally arose from more abstract formulations of classical mechanics.