ellipsoid
SURFACE

Ricci tensor

In[]:=
Out[]=
%[a,b,c][u,v]
In[]:=
Out[]=
Tr[%]
In[]:=
2
Cos[v]
(
2
a
2
Cos[u]
+
2
b
2
Sin[u]
)+
2
c
2
Sin[v]
+(
2
b
2
Cos[u]
+
2
a
2
Sin[u]
)
2
Sin[v]
Out[]=
FullSimplify[%]
In[]:=
1
2
(
2
a
+
2
b
+
2
c
-(
2
c
+(-
2
a
+
2
b
)Cos[2u])Cos[2v])
Out[]=
%/.{ba,ca}
In[]:=
1
2
(3
2
a
-
2
a
Cos[2v])
Out[]=
ellipsoid
SURFACE
["Properties"]
In[]:=
Out[]=
EntityList["Surface"]
In[]:=
{}
Out[]=
ellipsoid
SURFACE
In[]:=
ellipsoid
Out[]=
InputForm[%]
In[]:=
Entity[Surface, Ellipsoid]
Out[]//InputForm=