- #1
peripatein
- 880
- 0
Hello,
I would very much like someone to please clarify the following points concerning tensor summation to me. Suppose the components of a tensor Ai j are A1 2 = A2 1 = A (or, in general, Axy = Ayx = A), whereas all the other components are 0. Is this a symmetrical tensor then? How may Ai j be written in the form of a matrix? Furthermore, suppose I then have the following sum:
RilRjmAlm
Do l and m run from 1 to 3? How may I actually carry out this summation, considering the above-mentioned properties of A?
Thanks!
I would very much like someone to please clarify the following points concerning tensor summation to me. Suppose the components of a tensor Ai j are A1 2 = A2 1 = A (or, in general, Axy = Ayx = A), whereas all the other components are 0. Is this a symmetrical tensor then? How may Ai j be written in the form of a matrix? Furthermore, suppose I then have the following sum:
RilRjmAlm
Do l and m run from 1 to 3? How may I actually carry out this summation, considering the above-mentioned properties of A?
Thanks!