3 3 4 D O C U M E N T 3 9 0 D E C E M B E R 1 9 2 2
where all the ’s, with the exceptions of the ’s on the basis of conditions (C)
of my article, equal zero. Under the conditions , for all σ’s with the
exception of , however, the preceding formula is rewritten in this way as fol
lows:
as (in our case equal to the interval set by formula ), but
is equal to , i.e., ; hence, in this way is written in the form
of the following formula:
By our setting equal to zero, which follows from your universal equations, of
course, we do not have the equation indicated by you and appearing in your article,
but the following
instead[4]
:
(**)
;
in this way, one arrives at the necessity that be independent of but
;
however, on the basis of formula (8) of my article, ρ is expressed as follows:
whence
and really is independent of , which is also being sought.
Do not, highly esteemed Professor, deny me notification about whether my cal
culations discussed in the present letter are right. I recently examined the case of a
Q4
1
g
 
∂
ggασTα4
∂xσ

4σ
s
gασTαs – = =
1
g
 
∂
ggασT44
∂xσ

4σ
4
g4σT44 , – =
Tik T44
D3) ( g4σ 0=
σ 4=
Q4
1
g

,44
∂
gg44T
∂x4
=
g44
1
g44
 1== D3) ( T44
c2ρg44 T44 c2ρ = Q4
Q4
1
g
 .
∂ gc2ρ
∂x4
=
Q4
∂ gρ
∂x4
  0 =
gρ x4
g
1
c6
R( 
xν)6sin4x1sin2x2,
–= g
1
c3
  1– R
xν)3sin2x1sinx2
( =
ρ
3A
1
2
R(x4)3 
 ,=
gρ
3A
c3κ
 1sin2x1sinx2, – =
x4