220 DOC.
10
RESEARCH
NOTES
[p.
16]
dgpa
^
dPao
^
3Pßp
3y|iV
dx,
ii^pß^aß
7\x
+2jSaan
ß« dx
ßa
x
aß
^HV
v
"'Vßv
dn
"'"ßu
dn
"dx
+
^^av/?ßa"5j^(5aß
oxo
aß UAo
G.
dG
d&i
K
dgjK
3y.
dx..
=
s
it
dxv
G/K
=
XG
dx.
nullter Potenz
[42]
[eq.
45]
d*lK
d
9S«k
3glm
°&lm
" "
^1
~
JL
Yjiv
07
5T-
iK
lm'
oder
3*^
3xv
Y.vY
iK/ffifiv
°"V
oxv
P2
=
E5^(^V^[eq.
46]
d
l/G
(
f-
V
d\\l
3^
l
«Ze;
VG
a-
1
^£''k
3x"
G,k
I
dx,
3
G
a+
2
dSi
dx.
Y,kG
\
3Y
=
1
3
Ymv
Y
^^i'K
=
-I
3
Ynv
£
/ K
S-^ix V
K
3*v
/
dx^l
*lKdxKJ
Anderer Ausdruck für
obigen
Skalar
cp1
^
dG
dG
X^HH'VäZ'
Vvä7",
Anderer Ausdruck für
(p2
1
I
3
G
a+
2
YhvYK
dSiK)
3*n
V
dG
dx"
[42]In
[eq.
45]
and
[eq.
46]
Einstein
employs
the
first and
second Beltrami
operators to
form the invariants
(p1
=
AG and
(p2
=
A2Ga
.