PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: High Entry average rating: No information on entry rating
differential form (Definition)
eqref

"differential form" is owned by rmilson. [ full author list (2) | owner history (3) ]
(view preamble | get metadata)

View style:

Also defines:  exterior derivative, 1-form, exterior product, wedge product, interior product, tensorial

Attachments:
formulas for differential forms of small valence (Theorem) by rmilson
coboundary definition of exterior derivative (Definition) by rmilson
Log in to rate this entry.
(view current ratings)

Cross-references: factor, expressions, index, terms, freely generated, components, coordinate, freely generate, coframe, Kronecker delta, right hand side, fields, coordinate vector, frame, differential operator, odd permutation, even, permutations, sum, graded algebra, structure, operator, vector spaces, tangent spaces, cotangent bundle, section, language, antisymmetric, linear mapping, multilinear, functions, mapping, operation, local coordinates, module, directional derivative, vector fields, smooth, Lie algebra, smooth functions, algebra, tangent bundle, differential manifold
There are 56 references to this entry.

This is version 25 of differential form, born on 2002-06-05, modified 2009-02-13.
Object id is 3050, canonical name is DifferentialForms.
Accessed 29377 times total.

Classification:
AMS MSC58A10 (Global analysis, analysis on manifolds :: General theory of differentiable manifolds :: Differential forms)

Pending Errata and Addenda
None.
[ View all 8 ]
Discussion
Style: Expand: Order:
forum policy
Various. by quincynoodles on 2002-06-05 23:14:03
1) this entry will probably contain redundancies,
especially with the entry on exterior algebras,
but I think that's OK.

2) I _am_ reconstructing this mostly from a book
on Lie groups and algebras which I read over a
year ago, so if there are any glaring errors, or
if I've thrown sacred conventions to the wind,
apologies. Please point out any of the former
with gusto and leave a quiet note about any of
the latter.

3) The whole point of this is so I can post a
reasonably short entry on the general Stokes
theorem. Note 2 applies to this as well.
[ reply | up ]

Interact
post | correct | update request | add derivation | add example | add (any)