A type (0,4) tensor Tabcd satisfies TabedAºµ°X°µd = 0 for all con- travariant vectors X and uº. Show that its components satisfy Tabcd + Tcbad + Tadcb + Tedab = 0.
A type (0,4) tensor Tabcd satisfies TabedAºµ°X°µd = 0 for all con- travariant vectors X and uº. Show that its components satisfy Tabcd + Tcbad + Tadcb + Tedab = 0.
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Transcribed Image Text:A type (0,4) tensor Tabcd satisfies TabcddªµX°µd = 0 for all con-
travariant vectors X and uº. Show that its components satisfy
Tabcd + Tcbad + Tadcb + Tcdab =
0.
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