determinant tensorial de penta-curvatura de ordre 2

det( a^{k}_{ijuv} ) = ...

... ( a^{1}_{1111}a^{2}_{2222}+(-1)·a^{2}_{1111}a^{1}_{2222} )+...

A^{k}_{ijuv}·a_{i}a_{j}a_{u}a_{v} = a^{k}

a_{1} = a & a_{2} = b

A^{1}_{1111} = (1/a^{3}) & A^{2}_{2222} = (1/b^{3})

A^{2}_{1111} = (b/a^{4}) & A^{1}_{2222} = (a/b^{4})

A^{1}_{2111} = (1/(ba^{2})) & A^{2}_{1222} = (1/(b^{2}a))

A^{1}_{1211} = (1/(ba^{2})) & A^{2}_{2122} = (1/(b^{2}a))

A^{1}_{1121} = (1/(ba^{2})) & A^{2}_{2212} = (1/(b^{2}a))

A^{1}_{1112} = (1/(ba^{2})) & A^{2}_{2221} = (1/(b^{2}a))

A^{2}_{2111} = (1/a^{3}) & A^{1}_{1222} = (1/b^{3})

A^{2}_{1211} = (1/a^{3}) & A^{1}_{2122} = (1/b^{3})

A^{2}_{1121} = (1/a^{3}) & A^{1}_{2212} = (1/b^{3})

A^{2}_{1112} = (1/a^{3}) & A^{1}_{2221} = (1/b^{3})

A^{1}_{2211} = (1/(b^{2}a)) & A^{2}_{1122} = (1/(a^{2}b))

A^{1}_{1221} = (1/(b^{2}a)) & A^{2}_{2112} = (1/(a^{2}b))

A^{1}_{1122} = (1/(b^{2}a)) & A^{2}_{2211} = (1/(a^{2}b))

A^{2}_{1221} = (1/(a^{2}b)) & A^{1}_{2112} = (1/(b^{2}a))

A^{1}_{1212} = (1/(b^{2}a)) & A^{2}_{2121} = (1/(a^{2}b))

A^{2}_{1212} = (1/(a^{2}b)) & A^{1}_{2121} = (1/(b^{2}a))

det( A^{k}_{ijuv} ) = 0