Atlas Paclet Symbol

Ricci - calculation of Ricci tensor

Ricci[id]
allows one to calculate the Ricci tensor.

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id - variable - corresponding identifier.

The procedure is only available if the curvature 2-forms (see Curvature) have been calculated.

Declare forms:

Declare vectors:

Declare constant :

Declare coframe:

Declare frame:

Declare metric on S³ (see Metric):

In[8]:=

Out[8]=

Connection calculation:

In[9]:=

Out[9]=

Curvature calculation:

In[10]:=

Out[10]=

Ricci tensor calculation:

Declare forms:

Declare vectors:

Declare coframe:

Declare frame:

Connection definition:

Connection declaration:

In[10]:=

Out[10]=

Curvature calculation:

Ricci calculation:

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Ricci - calculation of Ricci tensor

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