Tensor Analysis Lecture 3 : Properties of a Tensor|Symmetry|Inner product|Contraction|Outer product
Автор: Physics of the Universe
Загружено: 2025-12-29
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This lecture discusses:-
Addition/Subtraction: Tensors of the same rank can be added or subtracted.
Kronecker tensor : A fundamental mixed unit tensor.
Outer Product: Takes two tensors and forms a higher-rank tensor.
Contraction: A powerful operation where a covariant and contravariant index are set equal (summed over), reducing the tensor's rank .
Symmetric/Antisymmetric Tensors: Indices can be swapped; symmetric tensors remain unchanged, while antisymmetric ones change sign
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