xTras Package SymbolTutorials »|More About »

EulerDensity

EulerDensity[cd]
gives the Euler density associated to the covariant derivative cd.
EulerDensity[cd, dim]
gives the Euler density associated to the covariant derivative cd in the dimension dim if the underlying manifold has a generic dimension.
  • The Euler density E_(2n) is given by , where .
  • Euler densities are only defined for even dimensions.
  • EulerDensity omits the square root of the metric determinant (so technically the returned result is not a density).
  • EulerDensity returns an expression with Scalar heads.
  • The following options can be given:
VerboseFalsedisplay information while computing