- #1
- 4,807
- 32
The Riemannian curvature tensor has the following symmetries:
(a) Rijkl=-Rjikl
(b) Rijkl=-Rijlk
(c) Rijkl=Rklij
(d) Rijkl+Rjkil+Rkijl=0
This is surely trivial, but I do not see how to prove that
Rijkl=-Rjilk.
:(
Thanks.
(a) Rijkl=-Rjikl
(b) Rijkl=-Rijlk
(c) Rijkl=Rklij
(d) Rijkl+Rjkil+Rkijl=0
This is surely trivial, but I do not see how to prove that
Rijkl=-Rjilk.
:(
Thanks.