What kinds of geometric objects do your forms live on? Algebraic curves and varieties? Manifolds? Manifolds with boundary? David
On Feb 1, 2008 8:00 AM, Peter Storm <[EMAIL PROTECTED]> wrote: > > Hello, > > I would like to either develop or find a method for computing with > differential forms in sage. More specifically, the level of > generality I'm looking for is the ability to manipulate differential > forms with values in a Lie algebra. I'd like to define the usual > operations on forms (+, scaling, d, wedge) plus Riemannian operations > which take into account a metric (Hodge star, a connection, the > adjoint of d). Such a tool would be useful to me for studying > deformations of geometric structures on a manifold. > > Years ago, Steve Kerckhoff hacked together some Mathematica code for > this purpose. However, Mathematica's inability easily to define and > manipulate objects makes it an unnatural choice. I would like the > data structures to be as close to the mathematical objects as > possible. > > If anybody is working on something similar, please let me know. For a > warm-up, I'm already working on a toy 2d version of the above. > > Best, > Pete Storm > > > > --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
