• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Tensors (2)

[itex]T_{ijk}[/itex] is an array with 27 components which is not known to represent a tensor. If for every second rank tensor, [itex]R_{ij}[/itex], the quantity [itex]v_i=T_{ijk}R_{jk}[/itex] is always a vector, show that [itex]T_{ijk}[/itex] is a third rank tensor.

I've managed the bit above. Just stuck on the next part:

If [itex]R_{ij}[/itex] is any symmetric tensor and [itex]v_i[/itex] is again always a vector, what can be said about the transformation properties of [itex]T_{ijk}[/itex] and [itex]T_{ijk}+T_{ikj}[/itex]???
 

Want to reply to this thread?

"Tensors (2)" You must log in or register to reply here.

Related Threads for: Tensors (2)

Replies
11
Views
2K
Replies
2
Views
831
Replies
0
Views
4K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top