Tensor density in sagemanifolds?
 
  
 
  
 
 
 
 
 
 
    
        
        asked 6 years ago  
 
 Dox gravatar image  
 
 
 
 
 
Hello community.
 
I've just realized that within the class TensorField there are subclasses DiffForm and MultivectorField. I was wondering whether a maximal (i.e. rank n in n dimensions) differential form or multivector field are considered as tensor densities. I'm thinking in the Levi-Civita epsilon.
 
Well, more generally... Is there a way to assign a density weight to a tensor?
 
Preview: (hide)
 
 
 
 
          
 
Comments
2
I don't think this is implemented yet. To implement tensor densities I guess TensorField should become a subclass of TensorDensity (or TensorDensityField?) with weight zero, and probably much functionality could be moved to TensorDensity with the appropriate generalization (taking the weight into account).
rburing gravatar imagerburing (
    
        6 years ago
    )
2
Yes I confirm that tensor densities are not implemented yet. In particular, the method PseudoRiemannianMetric.volume_form() returns a tensor field (a n-form), not a tensor density.
eric_g gravatar imageeric_g (
    
        6 years ago
    )
2
Btw, if you would like to implement tensor densities, please visit https://sagemanifolds.obspm.fr/contri....
eric_g gravatar imageeric_g (
    
        6 years ago
    )
add a comment