transformation of the affine connection


by ehrenfest
Tags: affine, connection, transformation
ehrenfest
ehrenfest is offline
#1
Oct6-07, 07:42 PM
P: 1,998
1. The problem statement, all variables and given/known data
Can someone explain what they mean at the bottom of the page "by swapping derivatives with respect to a and x' " and in general how they arrived at equation 3.17?


2. Relevant equations



3. The attempt at a solution
Attached Thumbnails
Picture2.jpg  
Phys.Org News Partner Science news on Phys.org
NASA's space station Robonaut finally getting legs
Free the seed: OSSI nurtures growing plants without patent barriers
Going nuts? Turkey looks to pistachios to heat new eco-city
ehrenfest
ehrenfest is offline
#2
Oct8-07, 02:59 AM
P: 1,998
can people see the attachment okay?
ehrenfest
ehrenfest is offline
#3
Oct10-07, 01:43 PM
P: 1,998
anyone?

nrqed
nrqed is offline
#4
Oct12-07, 04:50 PM
Sci Advisor
HW Helper
P: 2,886

transformation of the affine connection


Quote Quote by ehrenfest View Post
1. The problem statement, all variables and given/known data
Can someone explain what they mean at the bottom of the page "by swapping derivatives with respect to a and x' " and in general how they arrived at equation 3.17?


2. Relevant equations



3. The attempt at a solution
I have to admit that I am a bit puzzled by this. I don't see how a minus sign may be generated even if one relabels the dummy indices, use the chain rules to go from x to c', etc. I must be missing something. I hope someone else can jump in.
nhanle
nhanle is offline
#5
Apr1-11, 04:00 AM
P: 10
I have the same problem, can anyone help us?


Register to reply

Related Discussions
Affine Geometry/Space Differential Geometry 36
Finding an affine transformation matrix Linear & Abstract Algebra 5
Affine Connection Differential Geometry 12
[SOLVED] computing affine connection Advanced Physics Homework 2
Affine Hull Calculus & Beyond Homework 11