Determination of theHe3Superfluid-Density Tensor for theAandBPhases

The classic technique of Andronikashvili has been used to determine the superfluid density of the $A$ and $B$ phases of superfluid ${}_{}{}^3{}_{}{}^{}\mathrm{He}$. In the anisotropic $A$ phase, the texture of the fluid is controlled through the interaction between the boundary condition on the $\overrightarrow{l}$ vector and an externally applied magnetic field. Comparison of measurements made for different textures clearly establish the anistropy of the superfluid density tensor for ${}_{}{}^3{}_{}{}^{}\mathrm{He}-A$.