Timeline for Geometric imagination of differential forms
Current License: CC BY-SA 2.5
2 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 4, 2010 at 18:51 | comment | added | Mircea | I agree about 1-forms and 1-vectors, but I'm not sure of the dualtity between k-forms and k-vectors, for k different from 0,1,n-1,n (if n is the dimension of the manifold)... my intuition would then be that the dual of k-forms are just "simple k-vector"-fields. To justify that, observe that a form should be something that integrates on a submanifold, and the vector $e_1\wedge e_2+e_3\wedge e_4$ in $\mathbb R^4$ is not representing the tangent of a submanifold. | |
| Jun 3, 2010 at 21:37 | history | answered | babubba | CC BY-SA 2.5 |