In Terms of the Invariants of C
نویسنده
چکیده
The three invariants of C are key to expressing this tensor and its inverse as a polynomial in C. Simple and symmetric expressions are presented connecting the two sets of invariants {I1, I2, I3} and {i1, i2, i3} of C and C, respectively. The first result is a bivariate function relating I1, I2 to i1, i2. The functional form of i1 is the same as that of i2 when the roles of the C-invariants are reversed. The second result expresses the invariants using a single function call. The two sets of expressions emphasize symmetries in the relations among these four invariants.
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