
#1
Feb1707, 08:38 PM

P: 24

Could someone tell me what the tensor product is and give an example?




#2
Feb1807, 08:28 PM

P: 2,955

TP = A@B@C@D@... The "@" is being used for the product operator which is a symbol which actually looks like an x surrounded by a zero. Suppose A, B, C, D are vectors. We feed in the 1forms m, n, o, p as follows TP(m,n,o,p) = A(m)@B(n)@C(o)@D(p) The value of the tensor TP on the one forms is defined in this way. An example is really trivial and you can call the above an example. The tensors don't need to be vectors on the right. They just need to be tensors. Notice that TP is a tensor of rank 4 since it takes in 4 1forms. Pete 


Register to reply 
Related Discussions  
Tensor Product.  Linear & Abstract Algebra  11  
Tensor product  Calculus & Beyond Homework  0  
Tensor Product  Differential Geometry  3  
tensor product  Differential Geometry  17  
tensor product  Differential Geometry  5 