You are Here: Home >< Maths

# Tensors watch

1. Stuck on a question - seems like it must just be some manipulation but I can't seem to get it.

A tensor of rank 4 satisfies Tjikl = -Tijkl = Tijlk and Tijij=0

Show that Tijkl = -EijpEklqTrqrp

Where those 'E's are Cevi Levita symbols.

I've figured that the first two indices must be different than each other to give a non-zero value, and the same with the last two indices.

Help would be much appreciated. Thanks.
2. Does anyone have a solution?
3. Will skip out the details but here's an outline: define

Then . Contracting we get

Substitute back into the equality that preceded the contraction and you have the desired expression (with relabelling)

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: March 16, 2016
Today on TSR

### Buying condoms for the first time - help!

Discussions on TSR

• Latest
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE