3 ms·
While I understand manifolds, this article is the first time I have seen the term "contact manifold." Does anyone know of an original source where "contact mani
by SquibblesRedux 3y ago
While I understand manifolds, this article is the first time I have seen the term "contact manifold." Does anyone know of an original source where "contact manifold" is first formally defined?
- teunispeters 3y agoWay outside of my field - but from the link above: - https://www.jstor.org/stable/1970165 https://www.jstor.org/stable/1970165 On Contact Manifolds Their reference - https://core.ac.uk/reader/82059800 https://core.ac.uk/reader/82059800 - A Brief History of Contact Geometry and Topology - HansjSrg Geiges Seems solid enough. There's lots of other fun links there. I'm fascinated by this field but I don't have a degree of any kind so ... lots more learning to go!!!
- narinxas 3y agobut when I understand manifolds both contermporary flat-earthers and scientific academics(?) get mad at me? but I wouldn't claim to understand manifolds, I just understand that they have something to do with flatness perception at small scales (or short distances)
- daynthelife 3y agoNot an original source, but the Wikipedia page [0] gives a good introduction. A contact manifold is then just a manifold equipped with a contact structure. A more in-depth discussion can be found in many differential topology texts, e.g. page 581 of [1]. [0] https://en.m.wikipedia.org/wiki/Contact_geometry https://en.m.wikipedia.org/wiki/Contact_geometry [1] Lee, Introduction to Smooth Manifolds https://math.berkeley.edu/~jchaidez/materials/reu/lee_smooth_manifolds.pdf https://math.berkeley.edu/~jchaidez/materials/reu/lee_smooth...