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searching for Tensor density 4 found (101 total)

alternate case: tensor density

Cotton tensor (1,003 words) [view diff] exact match in snippet view article find links to article

is given by Eisenhart using a standard integrability argument. This tensor density is uniquely characterized by its conformal properties coupled with the
Virtual black hole (609 words) [view diff] exact match in snippet view article find links to article
call N μ ν . . . − g {\displaystyle N_{\mu \nu ...}{\sqrt {-g}}} a tensor density, where g {\displaystyle g} is the determinant of the metric tensor g
Hyperdeterminant (2,990 words) [view diff] exact match in snippet view article find links to article
summing over indices and the Levi-Civita symbol which is an alternating tensor density with components εij specified by ε00 = ε11 = 0, ε01 = −ε10 = 1: bkn
Bianchi classification (6,581 words) [view diff] exact match in snippet view article find links to article
this formula is due to the fact that the symbol εabd transforms as tensor density: ε a b c = ( det A ) D a m D b n D c d ε ´ m n d {\displaystyle \varepsilon