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Is there a simplifcation of ##g^{\alpha \delta}g_{\beta \gamma} ## or what is equal to ?
Definition of Tensor Identity Simplification
- Context: Undergrad
- Thread starter Arman777
- Start date
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- Tags
- Definition Identity Tensor
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Discussion Overview
The discussion revolves around the simplification of the expression ##g^{\alpha \delta}g_{\beta \gamma}##, exploring its properties and potential equivalences. Participants consider the implications of index differences and the relationship to tensor densities.
Discussion Character
- Technical explanation, Debate/contested
Main Points Raised
- One participant questions whether there is a simplification for ##g^{\alpha \delta}g_{\beta \gamma}##.
- Another participant suggests that it is merely a coordinate-dependent number, assuming the indices are not abstract.
- A later reply indicates that simplification is not possible if all the indices are different.
- There is a query about the relevance of this expression to tensor densities.
Areas of Agreement / Disagreement
Participants express differing views on the simplification of the expression, with no consensus reached on its properties or implications.
Contextual Notes
The discussion does not clarify the assumptions regarding the nature of the indices or the context in which the expression is being analyzed.
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