244
DOC. 10
RESEARCH
NOTES
[p.
37]
Nochmalige Berechnung
des Ebenentensors
1
2
f
d2gim
d2§
+
Kl
d2gn
d2SKm
\
\
dxKdx,
c)Xidxm
dxKdxm
dxidxl
y
1
fd_Sip
8g/p
dgu}(dg
4^Pal
dXf
+
dxt dx0
dgmö
dx
+
dgmK
m
dxK dxo
d2gi
\y
.-
bleibt stehen.
[97]
2
^dxKdX[
[96]
YKl [eq. 135]
[eq.
136]
YKl
K
/
=
YKl
dg,/
dgKl
V
3Xk
3*.
=
0
YKl
K
l
m
Yj2
dgmK dg
Kl
\
dxl
dxm
=
0
/
d
[98]
dx
m
d
dX:
[eq. 137]
[eq.
138]
2YkX
'
d2ga
+d2gmK
d2g
Kl
\
\dxKdxm
dx^
dx,dxm
,
+
dYK;
f
dgn
dgK)N
djKl
fdgmK
dxm
1"
d^K
dx,.
,
dg
Kl
dxt
^
dX[ dXj
=
0
2YK/(
=3
^^kI
(^dgji
dgKi^
5yk/
(
dgmK
dxm
dxK
dxt
,
^K/X
+
3x-
y
zweites Glied:
1
3g/p
3g
+
-
1
^Ypo
3gKO
[99]
tY,
KG
Y,'K/
4
9x,.
9xm
g/Py'K
4'P°3X,.
3xm
1
dYpö
dgpa
4
dx{
dxm
1
r^£
4
fP°
^
dx,
dg/,Vdgmö
3x
dg
mK
\
P
/
dxK 3xc
YKl
J
[eq. 139]
[eq. 140]