WOLFRAM
|
DEMONSTRATIONS PROJECT
Product of Two Levi-Civita Tensors with Contractions
r
a
n
k
o
f
t
h
e
L
e
v
i
-
C
i
v
i
t
a
p
e
r
m
u
t
a
t
i
o
n
t
e
n
s
o
r
2
3
4
5
n
u
m
b
e
r
o
f
c
o
n
t
r
a
c
t
e
d
i
n
d
i
c
e
s
0
1
2
3
a
l
l
o
w
d
y
n
a
m
i
c
r
e
s
i
z
i
n
g
ε
a
b
c
ε
i
j
k
=
-
δ
a
,
k
δ
b
,
j
δ
c
,
i
+
δ
a
,
j
δ
b
,
k
δ
c
,
i
+
δ
a
,
k
δ
b
,
i
δ
c
,
j
-
δ
a
,
i
δ
b
,
k
δ
c
,
j
-
δ
a
,
j
δ
b
,
i
δ
c
,
k
+
δ
a
,
i
δ
b
,
j
δ
c
,
k
T
h
e
p
r
o
d
u
c
t
o
f
t
w
o
L
e
v
i
-
C
i
v
i
t
a
t
e
n
s
o
r
s
i
s
a
s
u
m
o
f
p
r
o
d
u
c
t
s
o
f
K
r
o
n
e
c
k
e
r
d
e
l
t
a
s
.