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 [email protected] 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 -~----------~----~----~----~------~----~------~--~---
