Solutions of Exercises of Tensor Calculus Made Simple by Taha Sochi

Author:Taha Sochi [Sochi, Taha]
Language: eng
Format: epub
Publisher: CreateSpace
Published: 2017-12-01T00:00:00+00:00

(first symmetry)

 = Ajki

(second symmetry)

 = Akji

(first symmetry)

and hence it is also symmetric in its first and third indices, so it is totally symmetric. Similarly, if it is symmetric in its first and second indices and in its first and third indices then we have:

Aijk = Ajik

(first symmetry)

 = Akij

(second symmetry)

 = Aikj

(first symmetry)

and hence it is also symmetric in its second and third indices, so it is totally symmetric. Likewise, if it is symmetric in its first and third indices and in its second and third indices then we have:

Aijk = Akji

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