xTras
Package Symbol
The Gauss-Bonnet term
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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.
MORE INFORMATION
The Euler density
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:
Verbose
False
display information while computing
EXAMPLES
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Basic Examples
(1)
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TUTORIALS
The Gauss-Bonnet term
MORE ABOUT
xTras package
is given by 
, where 
.
EXAMPLES
Basic Examples 
