Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
BowenPing`STensor`
IsMetric  |
|
| | ||||
Examples
(3)
Basic Examples
(3)
IsMetric is an option of CreateTensor, which creates a (0,2)-rank symmetric tensor with default symbol g:
In[1]:=
g=
True
 | CreateTensor |
 | IsMetric |
Out[1]=
STensor
 |  |
|
Get g's metric, i.e. itself:
In[2]:=
g["Metric"]
Out[2]=
STensor
| |
|
If the IsMetric is set True, then the argument "Rank" can be reduce:
In[1]:=
η=
"η",{x,y},Array["η",{2,2}],
True
| CreateTensor |
 | IsMetric |
Out[1]=
STensor
| |
|
Its components will be automatically symmetrized in and only in this case:
In[2]:=
η["Components"]
Out[2]=
SymmetrizedArray
|  |
|
The symbol could be used as a default symbol "g" when IsMetric is set true:
In[1]:=
g=
{x,y},Array[&,{2,2}],
True
| CreateTensor |
"g"
##
| IsMetric |
Out[1]=
STensor
| |
|
 |
|
 |
|
""