- #1
bludragn0
- 2
- 0
Homework Statement
Hi all, I'm having trouble evaluating the product [itex]g_{αβ}ϵ^{αβγδ}[/itex]. Where the first term is the metric tensor and the second is the Levi-Civita pseudotensor. I know that it evaluates to 0, but I'm not sure how to arrive at that.
The Attempt at a Solution
My first thought process was that every permutation will include at least 2 indices which are equal, (because every permutation will have at least 2 zeroes) which makes every term zero. That seems too trivial however. Sorry if this sounds totally nonsensical, but I haven't been able to find a resource that really clarifies this.