You're fluent with the language of GR, so perhaps you could please tell me this...

You know the difference between scalar and vector... and I'm sure you know that Rank-0 tensor = "scalar", Rank-1 tensor = "vector", Rank-2 tensor commonly refered to as just plain "tensor"... and so on...

My question is: if Rank-2 tensor is mathematicaly represented by n x n matrix (n being number of dimensions), then is a Rank-3 tensor represented by an n x n x n matrix??

Is there such a thing as a three dimensional (and higher dimensional) matrix? If so... How ODD!!

Are these 3D, (4D, 5D and so on...) matrices applied in abstract theoretical physics (string theory or supergravity)?

• The way I'm familar with GR.. - bruce - November 7, 2001 - 20:35 UTC
  • Thanx Bruce... I looked it up on Yahoo also... - smartguy - November 8, 2001 - 02:49 UTC
• Tensor indeed is k-dimensional matrix. - alexander - November 8, 2001 - 16:02 UTC
  • And also must always return to initial values for elements... - smartguy - November 8, 2001 - 16:38 UTC