User miro - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T09:46:08Z http://mathoverflow.net/feeds/user/16527 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/6074/kahler-differentials-and-ordinary-differentials/70603#70603 Answer by Miro for Kahler differentials and Ordinary Differentials Miro 2011-07-18T09:12:29Z 2011-07-18T09:12:29Z <p>Hello everybody, I'm not a mathematician :) so sorry not to write the details here. Basically, I studied engineering and control theory. In nonlinear control theory we often use differentials, either Kahler or ordinary, to study the systems. There has been a long discussion whether those two notions are isomorphic or not. I believe, we have the answer finally. Together with my colleagues we have shown that differential one-froms are isomorphic to a quotient space (module) of Kahler differentials. These two modules coincide when they are modules over a ring of linear differential operators over the field of algebraic functions. It was published as G. Fu, M. Halás, Ü. Kotta, Z. Li: Some remarks on Kähler differentials and ordinary differentials in nonlinear control theory. In: Systems and control letters, article in press, 2011. Available online at <a href="http://www.sciencedirect.com/science/article/pii/S0167691111001198" rel="nofollow">http://www.sciencedirect.com/science/article/pii/S0167691111001198</a></p>